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

The solution to (-2x^6y^{-4})^5 is -(32x^{30})/(y^{20)}

Popular >

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

simplify

(- 2 x^{6} y^{- 4})^{5}

- \frac{32 x ^{30}}{y ^{20}}

Solution steps

(- 2 x^{6} y^{- 4})^{5}

Apply exponent rule:

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

n

is odd

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

2^{5} = 32

= - 32 (x^{6})^{5} (y^{- 4})^{5}

Simplify

(x^{6})^{5} : x^{30}

= - 32 x^{30} (y^{- 4})^{5}

Simplify

(y^{- 4})^{5} : \frac{1}{y ^{20}}

= - 32 x^{30} \frac{1}{y ^{20}}

Simplify

32 x^{30} \frac{1}{y ^{20}} : \frac{32 x ^{30}}{y ^{20}}

= - \frac{32 x ^{30}}{y ^{20}}

\frac{x ^{2} - 2}{3 ( - 2 x )}

\frac{( x + 2 )}{3} + \frac{( 4 x + 1 )}{2}

(b + 3) (b - 3)

81 \frac{y ^{3}}{9} x - 2 y

\frac{( 3 n ^{4} ) ( 6 n ^{2} )}{( 6 n ^{3} ) ^{2}}

What is (-2x^6y^{-4})^5 ?
The solution to (-2x^6y^{-4})^5 is -(32x^{30})/(y^{20)}