What is ((-(x*y^4))/2)^5 ?

The solution to ((-(x*y^4))/2)^5 is -(x^5y^{20})/(32)

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simplify ((-(x*y^4))/2)^5

simplify

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

- \frac{x ^{5} y ^{20}}{32}

Solution steps

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

Apply rule:

- (a) = - a

- (x y^{4}) = - x y^{4}

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

Simplify

(- x y^{4})^{5} : - x^{5} y^{20}

= \frac{- x ^{5} y ^{20}}{2 ^{5}}

2^{5} = 32

= \frac{- x ^{5} y ^{20}}{32}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{x ^{5} y ^{20}}{32}

\frac{3}{5} \cdot (\frac{21}{3} \cdot a - \frac{21}{2})

x^{2} - (2 b - 1) \cdot x + (b^{2} \cdot b - 2)

\frac{q ^{2} - 16}{q + 4}

(5 + j^{3}) + (6 - j^{8})

(2 c^{4} - b^{2}) 7

What is ((-(x*y^4))/2)^5 ?
The solution to ((-(x*y^4))/2)^5 is -(x^5y^{20})/(32)