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Popular >

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

Solution

simplify

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

Solution

6 x^{7} y^{2}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 5 = 7

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

Apply exponent rule:

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

yy = y^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Multiply the numbers:

2 \cdot 3 = 6

= 6 x^{7} y^{2}

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Frequently Asked Questions (FAQ)

What is (2x^2y)(3x^5y) ?
The solution to (2x^2y)(3x^5y) is 6x^7y^2