what exponent would make these two expressions equivelant (16^x)^6=(16^18)?

Question

what exponent would make these two expressions equivelant (16^x)^6=(16^18)?

Answer 1

To determine the exponent that would make the expressions equivalent, we can use the property of exponents that states (a^b)^c = a^(b*c).

So, we have (16^x)^6 = 16^(x*6).

Since we want this to be equivalent to 16^18, we set x*6 equal to 18:

x*6 = 18

Now, we solve for x:

x = 18/6

x = 3

So, the exponent that would make the two expressions equivalent is x = 3.