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

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 = (1)/(4)`

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 = (1)/(2^2)`

`c = (1)/(4)`