What is (a^5)/(10)*5/(a^3) ?

The solution to (a^5)/(10)*5/(a^3) is (a^2)/2

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simplify (a^5)/(10)*5/(a^3)

simplify

\frac{a ^{5}}{10} \cdot \frac{5}{a ^{3}}

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

Solution steps

\frac{a ^{5}}{10} \cdot \frac{5}{a ^{3}}

Apply the fraction rule:

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

= \frac{a ^{5} \cdot 5}{10 a ^{3}}

Factor the number:

10 = 5 \cdot 2

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

Cancel the common factor:

5

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

Simplify

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

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

- 10 + 9

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