Use the power rule of exponents to create an expression equivalent to in parentheses 15 with the exponent of six and then on the outside of the parentheses we have the exponent of two what the answer be 15 exponent 315 exponent 415 exponent eight or 15 exponent 12

Answer 1

To simplify the expression \( (15^6)^2 \) using the power rule of exponents, we can apply the rule that states \( (a^m)^n = a^{m \cdot n} \).

Here, we have:

• \( a = 15 \)
• \( m = 6 \)
• \( n = 2 \)

So, we apply the power rule:

\[ (15^6)^2 = 15^{6 \cdot 2} = 15^{12} \]

Now, let's look at the options you provided:

• \( 15^{3} \)
• \( 15^{4} \)
• \( 15^{8} \)
• \( 15^{12} \)

The correct answer is \( 15^{12} \).