# If (b^3)^y=b^12, then what is the value of y?

Jan 9, 2017

You can solve this problem by using one of the rules related to exponents.

#### Explanation:

There is a rule that states:

${\left({a}^{b}\right)}^{c} = {a}^{b c}$

Let's take a look at the problem again:

${\left({b}^{3}\right)}^{y} = {b}^{12}$

Using the rule, we can clearly see that $y$'s value is:

$y = 4$