Question

If (2^6)x = 1, what is the value of x? Explain your answer.

Answer 1

`x=(1)/(64)` Exact Form

`x=0.015625` Decimal Form

Explanation:

`((2^6)x)/(2^6) =(1)/(2^6)` Divide each term in
`(2^6)x=1` by
`2^6`.

`x=(1)/(2^6)` Cancel the common factor of
`2^6`.

`x=(1)/(64)` Raise 2 to the power of 6.

`x=0.015625` Decimal Form.