Question

Use the power rule and the power of a product rule to simplify the expression.(6n^5)^2

Answer 1

We are giving the expression below and asked to simply

`(6n^5)^2`

We can use the product rule, this formula tells us that when a product is raised to a power, every factor of the product is raised to the power.

We obey the product rule and the above expression becomes

`6^2*(n^5)^2`

We then use the power rule. This formula tells us that when a power of a number is raised to another power, multiply the indices. This would then give,

`\begin{gathered} 36* n^(5*2) \\ =36n^(10) \end{gathered}`

Therefore, the simplified expression gives:

ANSWER

`36n^(10)`