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Popular >

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

Solution

simplify

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

Solution

625 x^{20} y^{16}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

5^{4} = 625

= 625 (x^{5})^{4} (y^{4})^{4}

Simplify

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

= 625 x^{20} (y^{4})^{4}

Simplify

(y^{4})^{4} : y^{16}

= 625 x^{20} y^{16}

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Frequently Asked Questions (FAQ)

What is (-5x^5y^4)^4 ?
The solution to (-5x^5y^4)^4 is 625x^{20}y^{16}