Find the value of the following expression
(2^8 5^-5 19^0) x [5^-2 over 2^3]^4 x 2^28 (5 points)
Write your answer in simplified form. Show all of your steps. (5 points)
Looks like the expression is
(2⁸ • 5⁻⁵ • 19⁰) • (5⁻² / 2³)⁴ • 2²⁸
First, any positive number raised to 0 is 1:
(2⁸ • 5⁻⁵ • 1) • (5⁻² / 2³)⁴ • 2²⁸
(2⁸ • 5⁻⁵) • (5⁻² / 2³)⁴ • 2²⁸
Exponents in a denominator can be rewritten as negative exponents in the numerator:
(2⁸ • 5⁻⁵) • (5⁻² • 2⁻³)⁴ • 2²⁸
Distribute the 4th power across the product 5⁻² • 2⁻³ :
(5⁻² • 2⁻³)⁴ = 5⁻⁸ • 2⁻¹²
so we have
(2⁸ • 5⁻⁵) • (5⁻⁸ • 2⁻¹²) • 2²⁸
Multiplication is associative, so we can ignore the parentheses. Combine factors with equal bases and simplify the exponents:
2⁸ • 5⁻⁵ • 5⁻⁸ • 2⁻¹² • 2²⁸
2⁸⁻¹²⁺²⁸ • 5⁻⁵⁻⁸
2²⁴ • 5⁻¹³
Rewrite the negative exponent as a positive one:
2²⁴ / 5¹³
Which statement correctly compares the function shown on this graph with
the function y = 2x - 5?
Answer:
c is the answer
Step-by-step explanation:
please help i am desperate.
Answer:
3y +9 = perimeter
Step-by-step explanation:
Answer:
4y+9
Step-by-step explanation:
To find the perimeter , you have to add up all the 4 sides
so y + y+2 + y+4 + y+3 = 4y+ 9
hope it helps
Please help i don’t understand
Is that everything for the problem??
||-//
Cora and Hannah measured how high their pet frogs could jump. Cora's jumped x inches,
Hannah's jumped 5 inches less than Cora's. The frogs jumped a total of 53 inches together.
Circle the number that shows the distance Hannah's frog jumped.
Just got a 100 point question skim answered HA
Answer:
THis is not a question
Step-by-step explanation:
At a local department store, jeans typically cost $20. However, due to a special, the jeans are reduced to $14. What percent of the original price have the jeans been reduced to?
Answer:
25%
Step-by-step explanation:
Tom buys a CD for $12.00. He sells it for $15.00. $15.00 is what percent of his original cost?
Answer:
The answer is 125%
Step-by-step explanation:
Fraction calculator
Question in picture pls hurry im timed
Answer:
256
Step-by-step explanation:
4*4*4*4=256
Hope this helps!!
What is 3÷4? Draw a diagram that explains how you know.
Answer:
3 divided by 4 is 0.75
Step-by-step explanation:
Answer:
Answer: 3 divided by 4 is 0.75 .
Step-by-step explanation:
write the missing decimal so the each pair adds to 1
Answer:
top one is 0.6 bottom one is 0.1
Asapppp, plssss help meee :(
At a basketball game, 3 out of every 10 people who enter the gym will be wearing hats. If 250 people attend the game, about how many of them will probably be wearing hats?
75 people
80 people
65 people
70 people
4) -4x - 10.2
I need the answer to this question asap please.
Answer: -2.55
Explanation: First add 10.2, and then the equation becomes -4x = 10.2.
Then, you just divide by -4 from both sides of the equation, and you get x = -2.55. :]
Answer:
21 - 4x
Step-by-step explanation:
Multiply 10 and 2 to get 20.
41 - 4x - 20
Subtract 20 from 41 to get 21.
21 - 4x
Solve by substitution
-X-4y=8
x+4y=-1
Answer:
Your answer is: No solution
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Step-by-step explanation:
Hope this helped : )
b. The total cost (1) after 8% sales tax is added to an item's price (p): 1.08p =
=f
Is there a proportional relationship
Answer:
No
Step-by-step explanation:
Yes, there is a proportional relationship between the total cost (f) after 8% sales tax is added and the item's price (p).
Here,
In this case, the total cost (f) is calculated by multiplying the item's price (p) by 1.08 (which is 100% + 8% sales tax in decimal form).
Mathematically, this can be represented as:
f = 1.08p
The equation shows that the total cost (f) is directly proportional to the item's price (p) with a proportionality constant of 1.08.
This means that as the item's price (p) increases, the total cost (f) will also increase proportionally by 8% due to the added sales tax.
Similarly, if the item's price (p) decreases, the total cost (f) will also decrease proportionally by 8%.
This relationship holds true for all values of p and f as long as the sales tax rate remains constant at 8%.
learn more on sales tax :
https://brainly.com/question/30205925
#SPJ4
Please help me with this
Step-by-step explanation:
3/4 x 11/11 = 44
7/12 x 5/5 = 35/60
18/72 = 6/6 x 3/12
Topic: Fractions
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
what is the sum of all positive integer cubes that are less than 100
Step-by-step explanation:
2^3=8
3^3=27
4^3=64
so if you add all the positive integer cubes it will be 8+27+64=99
hence 99 is less than 100
Hence solved.
GR8reg_Math_T3_USA_OL_FY21 Question: 1-1
Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel then theo's family
Answer:
15
Step-by-step explanation:
Since the Theo family are going 50 per hour so that is 50=t for the Theo family in the promblem it talks about Malcolmś family being 65t how many number are they apart
50
+15
-------
65
15 is your answer
What is x in 7-onethirdx =11
Answer:
[tex]\frac{-1}{3} x = 11-7\\\\\frac{-1}{3} x = 4\\\\-1x = 4*3\\-1x = 12\\\\x = -12[/tex]
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?
Answer:
Step-by-step explanation:
12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.
12*2= 24 km/h
How do I find the missing sides in the triangle?
Answer:
x=14 y=10
Step-by-step explanation:
Divide. Round your answer to the nearest tenth.
39,527 = 7
HELPPP MEEEE
Answer:
3,266.53
Rounded to the nearest 0.01 or
the Hundredths Place.
Step-by-step explanation:
Please help! I will give brainlist, if I can
your awnser is C
Step-by-step explanation:
cause you'll need to multiply 1.05 × 15 then divide by 100
4 ( y+2 ) = 2( y+4 )
Answer:
y=0
Step-by-step explanation:
8=8
What is the slope and y-intercept of the function:
y=9x
Answer:
slope= 9
y-intercept= 0
Step-by-step explanation:
Because 9 is in the m spot and bis 0
David mixes 2 liters of lemon juice with 9 liters of water to make lemonade. Which ratio of liters of lemon juice to liters of water will make the same concentration of lemonade?
F: 3 : 10
G: 10 : 72
H: 14 : 63
J: 27 : 6
Answer:
J
Step-by-step explanation:
a² + b -c for a = 2 b = (-9) c = 4
Answer:
-9
Step-by-step explanation:
4+(-9)-4
4+(-13)
-9
Answer:
-9
4 + -9 - 4
4 + -9 + -4
4 + -13 = -9
help me thanks . please
Answer:
0.1 > 10^-2
(I'm pretty sure I'm right. sorry if im wrong :(
A certain star is 2.4 x 102 light years from the Earth. One light year is about 5.9 x 1012 miles. How far
from the earth (in miles) is the star?
TL
miles from Farth
The distance of the earth from the star is; 1.416 x 10¹⁵ miles
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
We are given that 1 light year ≈ 5.9 x 10¹² miles
so: the Coefficients for the problem are mathematically given a
Coefficients =2.4 x 5.9
Coefficients = 14.16
For Exponents;
Exponents= 10² x 10¹² = 10⁽²⁺¹²⁾
Exponents =10¹⁴
In conclusion, we put them together once again to produce a scientific notation;
14.16 x 10¹⁴
1.416 x 10¹⁵ miles
The distance of the earth from the star is; 1.416 x 10¹⁵ miles
Learn more about exponentiation here:
https://brainly.com/question/26938318
#SPJ2