Question

In Exercise, use the properties of exponents to simplify the expression.
(2^3/2^-5)-1

Answer 1

Expression will be
`2^(-8)`

Explanation:

We have given expression
`((2^3)/(2^(-5)))^(-1)`

According to property of exponent
`((2^3)/(2^(-5)))^(-1)=(2^(-5))/(2^3)`

Now again according to property of exponent when exponent on any function are in division then we subtract the exponent of denominator from exponenet of nominator

So
`(2^(-5))/(2^3)=2^(-5-3)=2^(-8)`