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Popular >

simplify (4x^2y)(3x^5y^2)

Solution

simplify

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

Solution

12 x^{7} y^{3}

Solution steps

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

Apply exponent rule:

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

x^{2} x^{5} = x^{2 + 5}

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

Add the numbers:

2 + 5 = 7

= 4 y \cdot 3 x^{7} y^{2}

Apply exponent rule:

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

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

= 4 \cdot 3 x^{7} y^{1 + 2}

Add the numbers:

1 + 2 = 3

= 4 \cdot 3 x^{7} y^{3}

Multiply the numbers:

4 \cdot 3 = 12

= 12 x^{7} y^{3}

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Frequently Asked Questions (FAQ)

What is (4x^2y)(3x^5y^2) ?
The solution to (4x^2y)(3x^5y^2) is 12x^7y^3