What is (a^3)/(a^{18)}*a^8 ?

The solution to (a^3)/(a^{18)}*a^8 is 1/(a^7)

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simplify (a^3)/(a^{18)}*a^8

simplify

\frac{a ^{3}}{a ^{18}} \cdot a^{8}

\frac{1}{a ^{7}}

Solution steps

\frac{a ^{3}}{a ^{18}} a^{8}

Cancel

\frac{a ^{3}}{a ^{18}} : \frac{1}{a ^{15}}

= \frac{1}{a ^{15}} a^{8}

Apply the fraction rule:

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

= \frac{1 \cdot a ^{8}}{a ^{15}}

Apply rule:

1 \cdot a = a

1 \cdot a^{8} = a^{8}

= \frac{a ^{8}}{a ^{15}}

Simplify

\frac{a ^{8}}{a ^{15}} : \frac{1}{a ^{7}}

= \frac{1}{a ^{7}}

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