Question

Simplify (3^-2)^4
O A. 1 /3^2
O B. 3^2
O c. 3^8
OD.1/3^8

Answer 1

1/3^8

Explanation:

`\hookrightarrow (3^(-2) )^(4) \\`

As,

x⁻²=1/x²

Then,

`\hookrightarrow ((1)/(3^(2) ) )^(4) \\\\\hookrightarrow ((1)/(9) )^(4) \\\\\hookrightarrow (((1)/(3) )^(2))^(4) \\\\\hookrightarrow ((1)/(3))^(8)`

Answer 2

`(3^(-2))^4 = 3^(-2 * 4) = 3^(-8) = \frac 1{3^8}\\\\\text{Hence the answer is D.}`