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Popular >

simplify (7x^2y^3)(9xy^5)

Solution

simplify

(7 x^{2} y^{3}) (9 x y^{5})

Solution

63 x^{3} y^{8}

Solution steps

(7 x^{2} y^{3}) (9 x y^{5})

Apply exponent rule:

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

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

= 7 y^{3} \cdot 9 x^{2 + 1} y^{5}

Add the numbers:

2 + 1 = 3

= 7 y^{3} \cdot 9 x^{3} y^{5}

Apply exponent rule:

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

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

= 7 \cdot 9 x^{3} y^{3 + 5}

Add the numbers:

3 + 5 = 8

= 7 \cdot 9 x^{3} y^{8}

Multiply the numbers:

7 \cdot 9 = 63

= 63 x^{3} y^{8}

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Frequently Asked Questions (FAQ)

What is (7x^2y^3)(9xy^5) ?
The solution to (7x^2y^3)(9xy^5) is 63x^3y^8