What is 3a^2*(5a)^{-2} ?

The solution to 3a^2*(5a)^{-2} is 3/25

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simplify 3a^2*(5a)^{-2}

simplify

3 a^{2} \cdot (5 a)^{- 2}

\frac{3}{25}

Decimal Notation

0.12

Solution steps

3 a^{2} (5 a)^{- 2}

Simplify

(5 a)^{- 2} : \frac{1}{25 a ^{2}}

= 3 a^{2} \frac{1}{25 a ^{2}}

Apply the fraction rule:

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

= \frac{3 a ^{2} \cdot 1}{25 a ^{2}}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3 a ^{2}}{25 a ^{2}}

Cancel the common factor:

a^{2}

= \frac{3}{25}

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