Question

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

Answer 1

5⁻³

Step-by-step explanation

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

`(a^b)/(a^c)=a^(b-c)`

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

`(5^5)/(5^8)=5^(5-8)=5^(-3)`