Question

Simplify the expression multiplying exponents

Answer 1

The given expression!

`(6n^3)(2n^7)`

As the base of the exponents are same i.e. n

The exponent rule is express as:

`a^x* a^y=a^(x+y)`

Apply exponent rule:

`\begin{gathered} (6n^3)(2n^7)=6n^3*2n^7 \\ (6n^3)(2n^7)=6*2* n^3* n^7 \\ (6n^3)(2n^7)=12n^(3+7) \\ (6n^3)(2n^7)=12n^(10) \end{gathered}`

Answer:

`(6n^3)(2n^7)=12n^(10)`