Simplify (3^3)÷(3^-4)

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

Step 1

Rewrite the division as a fraction.

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

Step 2

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

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

Step 3

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

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

$3^{3 + 4}$

Add $3$ and $4$ .

$3^{7}$

Step 4

Raise $3$ to the power of $7$ .

$2187$