jaxtonsaroff jaxtonsaroff
  • 19-05-2017
  • Mathematics
contestada

Explain how the Quotient of Powers was used to simplify this expression. (2 points) 2 to the fifth power, over 8 = 22

Respuesta :

mergl
mergl mergl
  • 31-05-2017
2^5/8
2^5/2^3
2^(5-3)
2^2
=4
Answer Link
parmesanchilliwack parmesanchilliwack
  • 19-12-2018

Answer:

The Quotient of Powers Rule helps to simplify exponents.

That is, If our expression is [tex]\frac{a^m}{a^n}[/tex]

Then after applying Quotient of Powers Rule,

We can write, [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

Here our expression, 2 to the fifth power over 8 = [tex]\frac{ 2 ^5}{8}[/tex]

= [tex]\frac{ 2 ^5}{2^3}[/tex]

= [tex]2^{5-3}[/tex] ( By applying quotient of power rule)

= [tex]2^{2}[/tex]

= 4

Answer Link

Otras preguntas

Coding Homework: I used def to define a function called redact. I made it take two arguments: text and secret. Now, inside my function, I have to use replace on
describe one historical shift from the World War I agreed the person era and it's accompanying watershed ​
Hallar la pendiente de la siguiente recta.
Why do mastery experices influence your self-efficacy?
Can an umbilical hernia heal itself?
Write a paragraph to give your opinion: Nature or Choice? (more than 100 words)​
For the reaction I₂(g) + Br₂(g) --> 2IBr (g), Kc= 280. if the initial amount of IBr = 0.4 mol in a 1-l flask, what is the molar equilibrium concentration of
PLEASE HELPPPPP WILL GIVE BRAINLIEST!!!!!!!
Write 0.0022 lb repeating as a fraction
A couch and coffee table cost a total of $1044. The cost of the couch is three times the cost of the coffee table. find the cost of each item.