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Popular >

simplify (8x^5*y^3)^2

Solution

simplify

(8 x^{5} \cdot y^{3})^{2}

Solution

64 x^{10} y^{6}

Solution steps

(8 x^{5} y^{3})^{2}

Apply exponent rule:

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

(8 x^{5} y^{3})^{2} = 8^{2} (x^{5})^{2} (y^{3})^{2}

= 8^{2} (x^{5})^{2} (y^{3})^{2}

8^{2} = 64

= 64 (x^{5})^{2} (y^{3})^{2}

Simplify

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

= 64 x^{10} (y^{3})^{2}

Simplify

(y^{3})^{2} : y^{6}

= 64 x^{10} y^{6}

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Frequently Asked Questions (FAQ)

What is (8x^5*y^3)^2 ?
The solution to (8x^5*y^3)^2 is 64x^{10}y^6