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:

$b^{-m}=\frac{1}{b^m}$

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:

$(2r^{5})(6r^{-}^{8}​)=12r^{(5-8)}=12r^{-3}=\frac{12}{r^3}$

The answer is:

$\frac{12}{r^3}$