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Popular >

simplify (3x^2y)(10x^5y^3)

Solution

simplify

(3 x^{2} y) (10 x^{5} y^{3})

Solution

30 x^{7} y^{4}

Solution steps

(3 x^{2} y) (10 x^{5} y^{3})

Apply exponent rule:

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

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

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

Add the numbers:

2 + 5 = 7

= 3 y \cdot 10 x^{7} y^{3}

Apply exponent rule:

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

y y^{3} = y^{1 + 3}

= 3 \cdot 10 x^{7} y^{1 + 3}

Add the numbers:

1 + 3 = 4

= 3 \cdot 10 x^{7} y^{4}

Multiply the numbers:

3 \cdot 10 = 30

= 30 x^{7} y^{4}

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Frequently Asked Questions (FAQ)

What is (3x^2y)(10x^5y^3) ?
The solution to (3x^2y)(10x^5y^3) is 30x^7y^4