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Popular >

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

Solution

simplify

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

Solution

9 x^{6} y^{3}

Solution steps

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

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

x^{2} x^{4} = x^{2 + 4}

= 3^{2} x^{2 + 4} y^{3}

Add the numbers:

2 + 4 = 6

= 3^{2} x^{6} y^{3}

3^{2} = 9

= 9 x^{6} y^{3}

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Frequently Asked Questions (FAQ)

What is (3x^2)(3x^4y^3) ?
The solution to (3x^2)(3x^4y^3) is 9x^6y^3