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Popular >

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

Solution

simplify

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

Solution

6 x^{5} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

4 + 1 = 5

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 2 = 5

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

Multiply the numbers:

2 \cdot 3 = 6

= 6 x^{5} y^{5}

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Frequently Asked Questions (FAQ)

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