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Popular >

simplify (-x^6*y^8)^2

Solution

simplify

(- x^{6} \cdot y^{8})^{2}

Solution

x^{12} y^{16}

Solution steps

(- x^{6} y^{8})^{2}

Apply exponent rule:

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

if

n

is even

(- x^{6} y^{8})^{2} = (x^{6} y^{8})^{2}

= (x^{6} y^{8})^{2}

Apply exponent rule:

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

(x^{6} y^{8})^{2} = (x^{6})^{2} (y^{8})^{2}

= (x^{6})^{2} (y^{8})^{2}

Simplify

(x^{6})^{2} : x^{12}

= x^{12} (y^{8})^{2}

Simplify

(y^{8})^{2} : y^{16}

= x^{12} y^{16}

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Frequently Asked Questions (FAQ)

What is (-x^6*y^8)^2 ?
The solution to (-x^6*y^8)^2 is x^{12}y^{16}