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Popular >

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

Solution

simplify

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

Solution

15 x^{4} y^{3}

Solution steps

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

Apply exponent rule:

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

x^{2} x^{2} = x^{2 + 2}

= 3 y \cdot 5 x^{2 + 2} y^{2}

Add the numbers:

2 + 2 = 4

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

Apply exponent rule:

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

y y^{2} = y^{1 + 2}

= 3 \cdot 5 x^{4} y^{1 + 2}

Add the numbers:

1 + 2 = 3

= 3 \cdot 5 x^{4} y^{3}

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{4} y^{3}

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Frequently Asked Questions (FAQ)

What is (3x^2y)(5x^2y^2) ?
The solution to (3x^2y)(5x^2y^2) is 15x^4y^3