Given that $\frac{4}{64^x} = 1$ , find the value of x. Answer x = ___

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

1. Use the equation to identify the required value of $64^x$.

$\frac{4}{64^x}=1$
Hence,
$64^x=4.$

2. Express both sides with the same base and equate indices.

Since $64=4^3$ ,
$(4^3)^x=4^1$
$4^{3x}=4^1$
So,
$3x=1$
$x=\frac{1}{3}.$

Answer

$x=\dfrac{1}{3}$

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.