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Popular >

simplify (4x^3*3y)^2

Solution

simplify

(4 x^{3} \cdot 3 y)^{2}

Solution

144 x^{6} y^{2}

Solution steps

(4 x^{3} \cdot 3 y)^{2}

Apply exponent rule:

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

(4 x^{3} \cdot 3 y)^{2} = 4^{2} (x^{3})^{2} \cdot 3^{2} y^{2}

= 4^{2} (x^{3})^{2} \cdot 3^{2} y^{2}

4^{2} = 16

= 16 (x^{3})^{2} \cdot 3^{2} y^{2}

Simplify

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

= 16 x^{6} \cdot 3^{2} y^{2}

3^{2} = 9

= 16 x^{6} \cdot 9 y^{2}

Multiply the numbers:

16 \cdot 9 = 144

= 144 x^{6} y^{2}

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Frequently Asked Questions (FAQ)

What is (4x^3*3y)^2 ?
The solution to (4x^3*3y)^2 is 144x^6y^2