Question

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

Answer 1

Answer:

Expression will be $2^{-8}$

Step-by-step explanation:

We have given expression $(\frac{2^3}{2^{-5}})^{-1}$

According to property of exponent $(\frac{2^3}{2^{-5}})^{-1}=\frac{2^{-5}}{2^3}$

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 $\frac{2^{-5}}{2^3}=2^{-5-3}=2^{-8}$