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Popular >

simplify 3x^2y(5x^3y^7)

Solution

simplify

3 x^{2} y (5 x^{3} y^{7})

Solution

15 x^{5} y^{8}

Solution steps

3 x^{2} y (5 x^{3} y^{7})

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

= 3 y \cdot 5 x^{2 + 3} y^{7}

Add the numbers:

2 + 3 = 5

= 3 y \cdot 5 x^{5} y^{7}

Apply exponent rule:

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

y y^{7} = y^{1 + 7}

= 3 \cdot 5 x^{5} y^{1 + 7}

Add the numbers:

1 + 7 = 8

= 3 \cdot 5 x^{5} y^{8}

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{5} y^{8}

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Frequently Asked Questions (FAQ)

What is 3x^2y(5x^3y^7) ?
The solution to 3x^2y(5x^3y^7) is 15x^5y^8