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Popular >

simplify (4x^7y^5)^4

Solution

simplify

(4 x^{7} y^{5})^{4}

Solution

256 x^{28} y^{20}

Solution steps

(4 x^{7} y^{5})^{4}

Apply exponent rule:

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

(4 x^{7} y^{5})^{4} = 4^{4} (x^{7})^{4} (y^{5})^{4}

= 4^{4} (x^{7})^{4} (y^{5})^{4}

4^{4} = 256

= 256 (x^{7})^{4} (y^{5})^{4}

Simplify

(x^{7})^{4} : x^{28}

= 256 x^{28} (y^{5})^{4}

Simplify

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

= 256 x^{28} y^{20}

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Frequently Asked Questions (FAQ)

What is (4x^7y^5)^4 ?
The solution to (4x^7y^5)^4 is 256x^{28}y^{20}