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Popular >

simplify 10xy^2(3x^2y^5)

Solution

simplify

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

Solution

30 x^{3} y^{7}

Solution steps

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

Apply exponent rule:

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

x x^{2} = x^{1 + 2}

= 10 y^{2} \cdot 3 x^{1 + 2} y^{5}

Add the numbers:

1 + 2 = 3

= 10 y^{2} \cdot 3 x^{3} y^{5}

Apply exponent rule:

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

y^{2} y^{5} = y^{2 + 5}

= 10 \cdot 3 x^{3} y^{2 + 5}

Add the numbers:

2 + 5 = 7

= 10 \cdot 3 x^{3} y^{7}

Multiply the numbers:

10 \cdot 3 = 30

= 30 x^{3} y^{7}

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Frequently Asked Questions (FAQ)

What is 10xy^2(3x^2y^5) ?
The solution to 10xy^2(3x^2y^5) is 30x^3y^7