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Popular >

simplify (2x^2y^4)^5

Solution

simplify

(2 x^{2} y^{4})^{5}

Solution

32 x^{10} y^{20}

Solution steps

(2 x^{2} y^{4})^{5}

Apply exponent rule:

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

(2 x^{2} y^{4})^{5} = 2^{5} (x^{2})^{5} (y^{4})^{5}

= 2^{5} (x^{2})^{5} (y^{4})^{5}

2^{5} = 32

= 32 (x^{2})^{5} (y^{4})^{5}

Simplify

(x^{2})^{5} : x^{10}

= 32 x^{10} (y^{4})^{5}

Simplify

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

= 32 x^{10} y^{20}

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Frequently Asked Questions (FAQ)

What is (2x^2y^4)^5 ?
The solution to (2x^2y^4)^5 is 32x^{10}y^{20}