Question

Which expression is equivalent to 4^{7}\times 4^{-5}

Answer 1

Answer:

16

Step-by-step explanation:

Given expression:

$4^{7}\times 4^{-5}$

Applying exponent rule: [$a^{b} \times a^{-n} = a^{b-n}$]

$\implies 4^{7 - 5}$

$\implies 4^{2}$

When evaluating the exponent, we get:

$\implies 4^{2} = 4 \times 4 = \boxed{16}$

Therefore, 16 is the simplified expression.

Learn more about exponents: brainly.com/question/2263967