Question:
What is the value of c in the equation below?
[tex]2^{-4}*2^2 = a^b = c[/tex]
A. -4 B. -2 C. 1/64 D. 1/4
Answer:
[tex]c = \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]2^{-4}*2^2 = a^b = c[/tex]
Required
Find c
The equation can be rewritten as:
[tex]c = 2^{-4}*2^2[/tex]
[tex]c = a^b[/tex]
Solving: [tex]c = 2^{-4}*2^2[/tex]
Apply law of indices
[tex]c = 2^{-4+2}[/tex]
[tex]c = 2^{-2}[/tex]
Apply law of indices
[tex]c = \frac{1}{2^2}[/tex]
[tex]c = \frac{1}{4}[/tex]
