What is the value of c in the equation below? 2(to the negative fourth power) • 2 (to the positive second power) = a(To the power of “b”) = c

A) -4
B) -2
C) 1/64
D) 1/4

D

Step-by-step explanation:

Using the rules of exponents

× = and =

Given

× 2² = = = c , hence

c = = = → D

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.