Question

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

Answer 1

Answer:

$x=\frac{1}{64}$ Exact Form

$x=0.015625$ Decimal Form

Step-by-step explanation:

$\frac{(2^6)x}{2^6} =\frac{1}{2^6}$ Divide each term in $(2^6)x=1$ by $2^6$.

$x=\frac{1}{2^6}$ Cancel the common factor of $2^6$.

$x=\frac{1}{64}$ Raise 2 to the power of 6.

$x=0.015625$ Decimal Form.