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Popular >

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

Solution

simplify

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

Solution

10 x^{8} y^{3}

Solution steps

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

Apply exponent rule:

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

x^{3} x^{5} = x^{3 + 5}

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

Add the numbers:

3 + 5 = 8

= 5 y^{2} \cdot 2 x^{8} y

Apply exponent rule:

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

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

= 5 \cdot 2 x^{8} y^{2 + 1}

Add the numbers:

2 + 1 = 3

= 5 \cdot 2 x^{8} y^{3}

Multiply the numbers:

5 \cdot 2 = 10

= 10 x^{8} y^{3}

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Frequently Asked Questions (FAQ)

What is (5x^3y^2)(2x^5y) ?
The solution to (5x^3y^2)(2x^5y) is 10x^8y^3