Question

What is the quote that of 2^4/2^-4

Answer 1

Answer:

$2^8$

Step-by-step explanation:

To find the quotient of:

$\frac{2^4}{2^{-4}}$

Solution:

We will apply quotient rule of exponents to find the quotient of the given expression.

By Quotient rule: $\frac{a^x}{a^y}=a^{(x-y)}$

Thus the quotient for the expression can be given as:

$\frac{2^4}{2^{-4}}$

⇒ $2^{(4-(-4))}$

⇒ $2^{(4+4)}$

⇒ $2^8$ (Answer)