Question

What is the value of c in the equation below?
24.2²=a=c
O-4
0-2
O
14

Answer 1

`c = (1)/(4)`

Step-by-step explanation:

`\sf 2^(-4) \ \cdot \ 2^2= a^b = c`

----

`\sf c = 2^(-4) \ \cdot \ 2^2`

apply indices law :
`\sf a^m \ \cdot \ a^n = a^(m+n)`

`\sf c = 2^(-4+2)`

simplify

`\sf c = 2^(-2)`

`\sf c = (1)/(2^2)`

evaluate

`\sf c = (1)/(4)`