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Popular >

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

Solution

simplify

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

Solution

5 x^{7} y^{5}

Solution steps

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

Apply exponent rule:

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

x^{5} x^{2} = x^{5 + 2}

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

Add the numbers:

5 + 2 = 7

= 5 y^{2} x^{7} y^{3}

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

= 5 x^{7} y^{5}

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Frequently Asked Questions (FAQ)

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