No matter i did it, can't express both side as a power with base 2

Here is the equation: cubic root(256^{2}) * 16^{x}=64^{x-3}

I need to express both sides as a power with base 2, but no matter how i solve it, it never can make base 2.

HELP!!

Re: No matter i did it, can't express both side as a power with base 2

Hey JarvisStu001.

Hint: Recall that 16 = 2^4 and 64 = 2^6 with the fact (a^xy) = (a^x)^y.

Re: No matter i did it, can't express both side as a power with base 2

Quote:

Originally Posted by

**JarvisStu001** Here is the equation: cubic root(256^{2}) * 16^{x}=64^{x-3}

You need to awake up to basic powers.

$\displaystyle 256=2^8$ thus $\displaystyle 256^2=2^{16}$.

$\displaystyle 16^x=2^{4x}~\&~64^{x-3}=2^{6x-18}$.

Re: No matter i did it, can't express both side as a power with base 2