What is (-3(q^{-2}a^5)^3)/(15q^8a^5) ?

The solution to (-3(q^{-2}a^5)^3)/(15q^8a^5) is -(a^{10})/(5q^{14)}

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simplify (-3(q^{-2}a^5)^3)/(15q^8a^5)

simplify

\frac{- 3 ( q ^{- 2} a ^{5} ) ^{3}}{15 q ^{8} a ^{5}}

- \frac{a ^{10}}{5 q ^{14}}

Solution steps

\frac{- 3 ( q ^{- 2} a ^{5} ) ^{3}}{15 q ^{8} a ^{5}}

Factor the number:

15 = 3 \cdot 5

= \frac{- 3 ( q ^{- 2} a ^{5} ) ^{3}}{3 \cdot 5 q ^{8} a ^{5}}

Cancel the common factor:

3

= \frac{- ( q ^{- 2} a ^{5} ) ^{3}}{5 q ^{8} a ^{5}}

Simplify

\frac{- ( q ^{- 2} a ^{5} ) ^{3}}{5 q ^{8} a ^{5}} : - \frac{a ^{10}}{q ^{14} \cdot 5}

= - \frac{a ^{10}}{q ^{14} \cdot 5}

= - \frac{a ^{10}}{5 q ^{14}}

x^{2} + 2 x - 15

20 k + 78 = 4 (5 k + 18)

(x - 1) (x + 2)^{2} - (x - 1)^{2} (x + 2)

6 y^{- 4}

(e^{x} - 2) (e^{x} - 3) \leq 2 e^{x}

What is (-3(q^{-2}a^5)^3)/(15q^8a^5) ?
The solution to (-3(q^{-2}a^5)^3)/(15q^8a^5) is -(a^{10})/(5q^{14)}