Question

How to simplify 5 to the 5th power and 5 to the 8th power as a fraction

Answer 1

ANSWER

5⁻³

EXPLANATION

Here we can use the quotient property of exponents. If we have a quotient of two exponents with the same base, then:

$\frac{a^b}{a^c}=a^{b-c}$

In this problem the base is 5 and the exponents are 5 and 8:

$\frac{5^5}{5^8}=5^{5-8}=5^{-3}$