Question

What is the value of c in the equation below?

Answer 1

Answer:

The answer is option D.

Step-by-step explanation:

2^-4 • 2² = a^b = c

Use the rules of indices

Since the bases are the same and they are multiplying we add the exponents

That's

2^-4 + 2 = a^b = c

2^-2 = a^b = c

a^b = 2^-2

c = 1/4

Hope this helps you.

Answer 2

Answer:

D

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ and $a^{-m}$ = $\frac{1}{a^{m} }$

Given

$2^{-4}$ × 2² = $2^{(-4+2)}$ = $2^{-2}$ = c , hence

c = $2^{-2}$ = $\frac{1}{2^{2} }$ = $\frac{1}{4}$ → D