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Popular >

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

Solution

simplify

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

Solution

6 x^{8} y^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

5 + 3 = 8

= 2 y^{3} \cdot 3 x^{8} y

Apply exponent rule:

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

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

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

Add the numbers:

3 + 1 = 4

= 2 \cdot 3 x^{8} y^{4}

Multiply the numbers:

2 \cdot 3 = 6

= 6 x^{8} y^{4}

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Frequently Asked Questions (FAQ)

What is (2x^5y^3)(3x^3y) ?
The solution to (2x^5y^3)(3x^3y) is 6x^8y^4