Question

Rewrite the expression with the given base.

Answer 1

The expression given to us is: 64^2x and we have to rewrite it with a base of 8 .

We know that 64 can be written in terms of 8 as the squared of 8 as:$64=8^2$.

Thus, the expression, $64^{2x}$ can be rewritten as:

$64^{2x}=(8^2)^{2x}$

Now, using the rules of exponents we get:

$(8^2)^{2x}=8^{2\times 2x}=8^{4x}$

$\therefore 64^{2x}=8^{4x}$

Thus, out of the given options, option C is the correct option.

Answer 2

C. 8^4x
64^2x = 4096x
8^4x= 4096x