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Popular >

simplify 5a^2b^{-3}

Solution

simplify

5 a^{2} b^{- 3}

Solution

\frac{5 a ^{2}}{b ^{3}}

Solution steps

5 a^{2} b^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

b^{- 3} = \frac{1}{b ^{3}}

= 5 a^{2} \frac{1}{b ^{3}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{5 a ^{2} \cdot 1}{b ^{3}}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{5 a ^{2}}{b ^{3}}

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Frequently Asked Questions (FAQ)

What is 5a^2b^{-3} ?
The solution to 5a^2b^{-3} is (5a^2)/(b^3)