Question

Use the negative exponent rule to simplify 5 x 5^7/5^20.

Answer 1

we have the expression

`(5\cdot5^7)/(5^((20)))`

step 1

Simplify the numerator

`(5\cdot5^7)/(5^((20)))=(5^(7+1))/(5^((20)))=(5^8)/(5^((20)))`

step 2

Simplify the denominator

`(5^8)/(5^((20)))=5^((8-20))=5^(-12)`

the answer is 5^-12