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Popular >

simplify (-4x^2y)^4

Solution

simplify

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

Solution

256 x^{8} y^{4}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

4^{4} = 256

= 256 (x^{2})^{4} y^{4}

Simplify

(x^{2})^{4} : x^{8}

= 256 x^{8} y^{4}

Popular Examples

simplify 1/2+1/5 simplify

\frac{1}{2} + \frac{1}{5}

simplify 10^{5/3}simplify

1 0^{\frac{5}{3}}

-3/5 (25s-40)=6s-18

- \frac{3}{5} (25 s - 40) = 6 s - 18

factor 4x^3-24x^2 factor

4 x^{3} - 24 x^{2}

(x+2)^2+4(x+2)-5=0

(x + 2)^{2} + 4 (x + 2) - 5 = 0

Frequently Asked Questions (FAQ)

What is (-4x^2y)^4 ?
The solution to (-4x^2y)^4 is 256x^8y^4