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Exercise

$\left(\frac{2}{3}\right)^3\left(\frac{2}{3}\right)^{-3}\left(\frac{2}{3}\right)^{-1}$

Step-by-step Solution

1

Simplify $\left(\frac{2}{3}\right)^3\cdot \left(\frac{2}{3}\right)^{-3}\cdot \left(\frac{2}{3}\right)^{-1}$ applying rules of exponents

$\left(\frac{2}{3}\right)^{-1}$

Final answer to the exercise

$\left(\frac{2}{3}\right)^{-1}$

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$4r^{-3}\cdot2r^2$

Main Topic: Multiply powers of same base

When multiplying powers of same base we can add the exponents.

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