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Popular >

simplify (3a)(a^{-3})

Solution

simplify

(3 a) (a^{- 3})

Solution

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

Solution steps

(3 a) (a^{- 3})

Apply rule:

(a) = a

(a^{- 3}) = a^{- 3}

= 3 a a^{- 3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

a a^{- 3} = a^{1 - 3}

= 3 a^{1 - 3}

Subtract the numbers:

1 - 3 = - 2

= 3 a^{- 2}

Apply exponent rule:

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

a^{- 2} = \frac{1}{a ^{2}}

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

Simplify

3 \cdot \frac{1}{a ^{2}} : \frac{3}{a ^{2}}

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

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Frequently Asked Questions (FAQ)

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