Basic Math Examples

$(3 t) {(3 t)}^{3}$

Step 1

Factor.

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Step 1.1

Apply the product rule to $3 t$ .

$3 t (3^{3} t^{3})$

Step 1.2

Remove unnecessary parentheses.

$3 t \cdot 3^{3} t^{3}$

Step 2

Combine exponents.

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Step 2.1

Multiply $3$ by $3^{3}$ by adding the exponents.

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Step 2.1.1

Move $3^{3}$ .

$3^{3} \cdot 3 t \cdot t^{3}$

Step 2.1.2

Multiply $3^{3}$ by $3$ .

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Step 2.1.2.1

Raise $3$ to the power of $1$ .

$3^{3} \cdot 3^{1} t \cdot t^{3}$

Step 2.1.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3^{3 + 1} t \cdot t^{3}$

Step 2.1.3

Add $3$ and $1$ .

$3^{4} t \cdot t^{3}$

Step 2.2

Multiply $t$ by $t^{3}$ by adding the exponents.

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Step 2.2.1

Move $t^{3}$ .

$3^{4} (t^{3} t)$

Step 2.2.2

Multiply $t^{3}$ by $t$ .

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Step 2.2.2.1

Raise $t$ to the power of $1$ .

$3^{4} (t^{3} t^{1})$

Step 2.2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3^{4} t^{3 + 1}$

Step 2.2.3

Add $3$ and $1$ .

$3^{4} t^{4}$