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Popular >

simplify (3x^6y^3)(4xy^2)

Solution

simplify

(3 x^{6} y^{3}) (4 x y^{2})

Solution

12 x^{7} y^{5}

Solution steps

(3 x^{6} y^{3}) (4 x y^{2})

Apply exponent rule:

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

x^{6} x = x^{6 + 1}

= 3 y^{3} \cdot 4 x^{6 + 1} y^{2}

Add the numbers:

6 + 1 = 7

= 3 y^{3} \cdot 4 x^{7} y^{2}

Apply exponent rule:

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

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

= 3 \cdot 4 x^{7} y^{3 + 2}

Add the numbers:

3 + 2 = 5

= 3 \cdot 4 x^{7} y^{5}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{7} y^{5}

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Frequently Asked Questions (FAQ)

What is (3x^6y^3)(4xy^2) ?
The solution to (3x^6y^3)(4xy^2) is 12x^7y^5