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

User Souper
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1 Answer

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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)

User Useraged
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