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Popular >

simplify (-6x^5y^5)^4

Solution

simplify

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

Solution

1296 x^{20} y^{20}

Solution steps

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

Apply exponent rule:

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

if

n

is even

(- 6 x^{5} y^{5})^{4} = (6 x^{5} y^{5})^{4}

= (6 x^{5} y^{5})^{4}

Apply exponent rule:

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

(6 x^{5} y^{5})^{4} = 6^{4} (x^{5})^{4} (y^{5})^{4}

= 6^{4} (x^{5})^{4} (y^{5})^{4}

6^{4} = 1296

= 1296 (x^{5})^{4} (y^{5})^{4}

Simplify

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

= 1296 x^{20} (y^{5})^{4}

Simplify

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

= 1296 x^{20} y^{20}

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Frequently Asked Questions (FAQ)

What is (-6x^5y^5)^4 ?
The solution to (-6x^5y^5)^4 is 1296x^{20}y^{20}