Question

What is the value of c in the equation below? 2 Superscript negative 4 Baseline times 2 squared = a Superscript b Baseline = c Negative 4 Negative 2 Start Fraction 1 Over 64 End Fraction One-fourth

Answer 1

Step-by-step explanation:

Answer:

1/4

Answer 2

Question:

What is the value of c in the equation below?

$2^{-4}*2^2 = a^b = c$

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

Answer:

$c = \frac{1}{4}$

Step-by-step explanation:

Given

$2^{-4}*2^2 = a^b = c$

Required

Find c

The equation can be rewritten as:

$c = 2^{-4}*2^2$

$c = a^b$

Solving: $c = 2^{-4}*2^2$

Apply law of indices

$c = 2^{-4+2}$

$c = 2^{-2}$

Apply law of indices

$c = \frac{1}{2^2}$

$c = \frac{1}{4}$