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Popular >

simplify (3x^9)(3x^2)

Solution

simplify

(3 x^{9}) (3 x^{2})

Solution

9 x^{11}

Solution steps

(3 x^{9}) (3 x^{2})

Apply exponent rule:

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

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

= x^{9} \cdot 3^{1 + 1} x^{2}

Add the numbers:

1 + 1 = 2

= x^{9} \cdot 3^{2} x^{2}

Apply exponent rule:

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

x^{9} x^{2} = x^{9 + 2}

= 3^{2} x^{9 + 2}

Add the numbers:

9 + 2 = 11

= 3^{2} x^{11}

3^{2} = 9

= 9 x^{11}

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Frequently Asked Questions (FAQ)

What is (3x^9)(3x^2) ?
The solution to (3x^9)(3x^2) is 9x^{11}