What is (-6y^4)/((-2y^{-5))^5} ?

The solution to (-6y^4)/((-2y^{-5))^5} is (3y^{29})/(16)

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simplify (-6y^4)/((-2y^{-5))^5}

simplify

\frac{- 6 y ^{4}}{( - 2 y ^{- 5} ) ^{5}}

\frac{3 y ^{29}}{16}

Solution steps

\frac{- 6 y ^{4}}{( - 2 y ^{- 5} ) ^{5}}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 2 y^{- 5})^{5} = - (2 y^{- 5})^{5}

= \frac{- 6 y ^{4}}{- ( 2 y ^{- 5} ) ^{5}}

Simplify

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

= \frac{- 6 y ^{4}}{- 2 ^{5} \cdot \frac{1}{y ^{25}}}

Factor the number:

6 = 2 \cdot 3

= \frac{- 2 \cdot 3 y ^{4}}{- 2 ^{5} \cdot \frac{1}{y ^{25}}}

\frac{2}{2 ^{5}} = \frac{1}{2 ^{4}}

= \frac{- 3 y ^{4}}{- 2 ^{4} \cdot \frac{1}{y ^{25}}}

Simplify

\frac{- 3 y ^{4}}{- 2 ^{4} \cdot \frac{1}{y ^{25}}} : \frac{3 y ^{29}}{16}

= \frac{3 y ^{29}}{16}

4 \frac{1}{8}

(2 - 4 i) (- 5 - 3 i)

\frac{8 m ^{9} n ^{2} - 10 m ^{7} n ^{4} - 20 m ^{5} n ^{6} + 12 m ^{3} n ^{8}}{2 m ^{2}}

16 x + 3 - 14 x + 15

\frac{5 a ^{m} b ^{n} c}{- 6 a ^{3} b ^{4} c}

What is (-6y^4)/((-2y^{-5))^5} ?
The solution to (-6y^4)/((-2y^{-5))^5} is (3y^{29})/(16)