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Popular >

simplify (5x^2y^3)(8xy^5)

Solution

simplify

(5 x^{2} y^{3}) (8 x y^{5})

Solution

40 x^{3} y^{8}

Solution steps

(5 x^{2} y^{3}) (8 x y^{5})

Apply exponent rule:

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

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

= 5 y^{3} \cdot 8 x^{2 + 1} y^{5}

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

y^{3} y^{5} = y^{3 + 5}

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

Add the numbers:

3 + 5 = 8

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

Multiply the numbers:

5 \cdot 8 = 40

= 40 x^{3} y^{8}

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Frequently Asked Questions (FAQ)

What is (5x^2y^3)(8xy^5) ?
The solution to (5x^2y^3)(8xy^5) is 40x^3y^8