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Popular >

simplify (-3xy^2)^4

Solution

simplify

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

Solution

81 x^{4} y^{8}

Solution steps

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

Apply exponent rule:

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

if

n

is even

(- 3 x y^{2})^{4} = (3 x y^{2})^{4}

= (3 x y^{2})^{4}

Apply exponent rule:

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

(3 x y^{2})^{4} = 3^{4} x^{4} (y^{2})^{4}

= 3^{4} x^{4} (y^{2})^{4}

3^{4} = 81

= 81 x^{4} (y^{2})^{4}

Simplify

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

= 81 x^{4} y^{8}

Popular Examples

simplify |-6|+9 simplify

∣ - 6 ∣ + 9

factor 1+x^2+1/4 x^4 factor

1 + x^{2} + \frac{1}{4} x^{4}

x^{2} + 5 x - 6 \geq 0

simplify 1/5*1/4 simplify

\frac{1}{5} \cdot \frac{1}{4}

24a-22=-4(1-6a)

24 a - 22 = - 4 (1 - 6 a)

Frequently Asked Questions (FAQ)

What is (-3xy^2)^4 ?
The solution to (-3xy^2)^4 is 81x^4y^8