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Popular >

simplify (-3x^2y^2)^3

Solution

simplify

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

Solution

- 27 x^{6} y^{6}

Solution steps

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

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

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

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

3^{3} = 27

= - 27 (x^{2})^{3} (y^{2})^{3}

Simplify

(x^{2})^{3} : x^{6}

= - 27 x^{6} (y^{2})^{3}

Simplify

(y^{2})^{3} : y^{6}

= - 27 x^{6} y^{6}

Popular Examples

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v^{2} - 9 v + 14

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\frac{( 0.8 \cdot 1 0 ^{1} 0 )}{( 0.4 \cdot 1 0 ^{5} )}

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3 + 3 i + 8 - 2 i - 7

x^{2} - x = 2 0^{2}

\frac{7}{( x - 5 )} < 0

Frequently Asked Questions (FAQ)

What is (-3x^2y^2)^3 ?
The solution to (-3x^2y^2)^3 is -27x^6y^6