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Popular >

simplify 3w^3(3w^3)

Solution

simplify

3 w^{3} (3 w^{3})

Solution

9 w^{6}

Solution steps

3 w^{3} (3 w^{3})

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

= w^{3} \cdot 3^{2} w^{3}

Apply exponent rule:

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

w^{3} w^{3} = w^{3 + 3}

= 3^{2} w^{3 + 3}

Add the numbers:

3 + 3 = 6

= 3^{2} w^{6}

3^{2} = 9

= 9 w^{6}

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Frequently Asked Questions (FAQ)

What is 3w^3(3w^3) ?
The solution to 3w^3(3w^3) is 9w^6