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Popular >

simplify (5x^22xy^4)^3

Solution

simplify

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

Solution

1000 x^{9} y^{12}

Solution steps

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

Apply exponent rule:

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

(5 x^{2} \cdot 2 x y^{4})^{3} = 5^{3} (x^{2})^{3} \cdot 2^{3} x^{3} (y^{4})^{3}

= 5^{3} (x^{2})^{3} \cdot 2^{3} x^{3} (y^{4})^{3}

5^{3} = 125

= 125 (x^{2})^{3} \cdot 2^{3} x^{3} (y^{4})^{3}

Simplify

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

= 125 x^{6} \cdot 2^{3} x^{3} (y^{4})^{3}

2^{3} = 8

= 125 x^{6} \cdot 8 x^{3} (y^{4})^{3}

Simplify

(y^{4})^{3} : y^{12}

= 125 x^{6} \cdot 8 x^{3} y^{12}

Multiply the numbers:

125 \cdot 8 = 1000

= 1000 x^{6} x^{3} y^{12}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{6} x^{3} = x^{6 + 3}

= 1000 x^{6 + 3} y^{12}

Add the numbers:

6 + 3 = 9

= 1000 x^{9} y^{12}

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Frequently Asked Questions (FAQ)

What is (5x^2*2x*y^4)^3 ?
The solution to (5x^2*2x*y^4)^3 is 1000x^9y^{12}