Question

What is the missing exponent?

Answer 1

Simplify the denominator. Multiply the exponents together.

Answer 2

After you have done that, divide. When dividing, you subtract the exponents.

Answer 3

Can you give me a example by drawing or using the equation thing

Answer 4

\(\large {
\cfrac{5^8}{(5^{-4})^{-3}}=5^\square
\\ \quad \\ \quad \\
\cfrac{5^8}{(5^{-4})^{-3}}\implies \cfrac{5^8}{1}\cdot \cfrac{1}{(5^{-4})^{-3}}\implies 5^8\cdot \cfrac{1}{5^{-4\cdot -3}}
\\ \quad \\
5^8\cdot \cfrac{1}{5^{\square ?}}
}\)

what does the product give you?

Answer 5

by product I meant just the exponent at \(\Large 5^{-4\cdot -3}\)

Answer 6

hmm recall that \(\large \bf (a^n)^m\implies a^{n\cdot m}\qquad thus\implies (5^{-4})^{-3}\implies 5^{-4\cdot -3}\)

Answer 7

\(\Large (a^n)^m\implies a^{n\times m}\qquad thus\implies (5^{-4})^{-3}\implies 5^{-4\times -3}\)

Answer 8

http://www.math-play.com/image-exponents-rules.jpg <--- recall your exponent rules
it'd the last 3rd one listed there