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Popular >

simplify (10x^4y^2)(3xy^3)

Solution

simplify

(10 x^{4} y^{2}) (3 x y^{3})

Solution

30 x^{5} y^{5}

Solution steps

(10 x^{4} y^{2}) (3 x y^{3})

Apply exponent rule:

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

x^{4} x = x^{4 + 1}

= 10 y^{2} \cdot 3 x^{4 + 1} y^{3}

Add the numbers:

4 + 1 = 5

= 10 y^{2} \cdot 3 x^{5} y^{3}

Apply exponent rule:

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

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

= 10 \cdot 3 x^{5} y^{2 + 3}

Add the numbers:

2 + 3 = 5

= 10 \cdot 3 x^{5} y^{5}

Multiply the numbers:

10 \cdot 3 = 30

= 30 x^{5} y^{5}

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Frequently Asked Questions (FAQ)

What is (10x^4y^2)(3xy^3) ?
The solution to (10x^4y^2)(3xy^3) is 30x^5y^5