Question

Which applies the power of a power rule to simplify the expression 8^12 3

Answer 1

Answer:

Option (b) is correct.

$(8^{12})^3=8^{12\times 3}=8^{36}$

Step-by-step explanation:

 Given :  the expression $(8^{12})^3$

We have to simplify the given  expression and choose the correct from the given options.

Consider the expression $(8^{12})^3$

Using property of exponents,

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

We have,

$(8^{12})^3=8^{12\times 3}=8^{36}$

Thus, Option (b) is correct.

$(8^{12})^3=8^{12\times 3}=8^{36}$

Answer 2

B.

When you raise a number to a power, you multiply its current power with the one you're raising it to.