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Popular >

simplify (4x^9y)^3

Solution

simplify

(4 x^{9} y)^{3}

Solution

64 x^{27} y^{3}

Solution steps

(4 x^{9} y)^{3}

Apply exponent rule:

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

(4 x^{9} y)^{3} = 4^{3} (x^{9})^{3} y^{3}

= 4^{3} (x^{9})^{3} y^{3}

4^{3} = 64

= 64 (x^{9})^{3} y^{3}

Simplify

(x^{9})^{3} : x^{27}

= 64 x^{27} y^{3}

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Frequently Asked Questions (FAQ)

What is (4x^9y)^3 ?
The solution to (4x^9y)^3 is 64x^{27}y^3