Algebra Examples

$\frac{3}{3^{- 4}}$

Step 1

Move $3^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$3 \cdot 3^{4}$

Step 2

Multiply $3$ by $3^{4}$ by adding the exponents.

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Step 2.1

Multiply $3$ by $3^{4}$ .

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Step 2.1.1

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

$3^{1} \cdot 3^{4}$

Step 2.1.2

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

$3^{1 + 4}$

Step 2.2

Add $1$ and $4$ .

$3^{5}$

Step 3

Raise $3$ to the power of $5$ .

$243$