What is (5a^{-5}b^4)/(15a^2b^{-6)} ?

The solution to (5a^{-5}b^4)/(15a^2b^{-6)} is (b^{10})/(3a^7)

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simplify (5a^{-5}b^4)/(15a^2b^{-6)}

simplify

\frac{5 a ^{- 5} b ^{4}}{15 a ^{2} b ^{- 6}}

\frac{b ^{10}}{3 a ^{7}}

Solution steps

\frac{5 a ^{- 5} b ^{4}}{15 a ^{2} b ^{- 6}}

Factor the number:

15 = 5 \cdot 3

= \frac{5 a ^{- 5} b ^{4}}{5 \cdot 3 a ^{2} b ^{- 6}}

Cancel the common factor:

5

= \frac{a ^{- 5} b ^{4}}{3 a ^{2} b ^{- 6}}

Simplify

\frac{b ^{4}}{b ^{- 6}} : b^{10}

= \frac{a ^{- 5} b ^{10}}{3 a ^{2}}

Simplify

\frac{a ^{- 5}}{a ^{2}} : \frac{1}{a ^{7}}

= \frac{b ^{10}}{3 a ^{7}}

(\frac{1}{81})^{\frac{1}{4}}

5 (x + 2) = 5 x - 2

- 4 x^{2} - 10 x - 6

- 2 \leq \frac{2}{3} x + 4 < 8

\frac{2 + 12}{2}

What is (5a^{-5}b^4)/(15a^2b^{-6)} ?
The solution to (5a^{-5}b^4)/(15a^2b^{-6)} is (b^{10})/(3a^7)