Question

Laws of exponent : multiplication  and power to a powerquestion 2)))-2r⁵ • 6r ⁻⁸

Answer 1

You need to remember the following:

- The Product of powers property states that:

`b^m\cdot b^n=b^((m+n))`

- According to the Negative exponent rule:

`b^(-m)=(1)/(b^m)`

Given the following expression:

`(2r^(5))(6r^(-)^(8)​)`

You can simplify it as following:

1. Multiply the coefficients.

2. Apply the Product of powers property.

3. Apply the Negative exponent rule.

Then, you get:

`(2r^(5))(6r^(-)^(8)​)=12r^((5-8))=12r^(-3)=(12)/(r^3)`

The answer is:

`(12)/(r^3)`