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Popular >

simplify 3t(3t^2)

Solution

simplify

3 t (3 t^{2})

Solution

9 t^{3}

Solution steps

3 t (3 t^{2})

Apply exponent rule:

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

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

= t \cdot 3^{1 + 1} t^{2}

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

t t^{2} = t^{1 + 2}

= 3^{2} t^{1 + 2}

Add the numbers:

1 + 2 = 3

= 3^{2} t^{3}

3^{2} = 9

= 9 t^{3}

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Frequently Asked Questions (FAQ)

What is 3t(3t^2) ?
The solution to 3t(3t^2) is 9t^3