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Popular >

simplify (-2y^4x)^5

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

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

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

2^{5} = 32

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

Simplify

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

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

Popular Examples

x^{2} - 2 x = 1

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\frac{24 + 4 i}{24 - 4 i}

simplify (n(n+1)(2n+1))/6+(n+1)^2 simplify

\frac{n ( n + 1 ) ( 2 n + 1 )}{6} + (n + 1)^{2}

40 x^{1} + 8 x^{2} = 800

simplify 81^{1/2}simplify

8 1^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

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