Question

What exponent would make the two expressions equivalent: (16^x)^6=(16^18) ?

Answer 1

[AI-generated answer — Bot GPT 3.5]

We can use the property of exponents that states $(a^b)^c=a^{bc}$ to rewrite the left side of the equation as $16^{6x}$. Setting this equal to the right side gives the equation $16^{6x}=16^{18}$. Since the bases are the same, we can set the exponents equal to each other. So we have $6x=18$. Dividing both sides by 6 gives $x=\boxed{3}$.