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Popular >

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

Solution

simplify

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

Solution

10 x^{6} y^{5}

Solution steps

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

Apply exponent rule:

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

x x^{5} = x^{1 + 5}

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

Add the numbers:

1 + 5 = 6

= 5 y^{3} \cdot 2 x^{6} y^{2}

Apply exponent rule:

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

y^{3} y^{2} = y^{3 + 2}

= 5 \cdot 2 x^{6} y^{3 + 2}

Add the numbers:

3 + 2 = 5

= 5 \cdot 2 x^{6} y^{5}

Multiply the numbers:

5 \cdot 2 = 10

= 10 x^{6} y^{5}

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Frequently Asked Questions (FAQ)

What is (5xy^3)(2x^5y^2) ?
The solution to (5xy^3)(2x^5y^2) is 10x^6y^5