Simplify (27^(-1/3))/(27^(-4/3))

$\frac{27^{- \frac{1}{3}}}{27^{- \frac{4}{3}}}$

Move $27^{- \frac{4}{3}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$27^{- \frac{1}{3}} \cdot 27^{\frac{4}{3}}$

Multiply $27^{- \frac{1}{3}}$ by $27^{\frac{4}{3}}$ by adding the exponents.

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

$27^{- \frac{1}{3} + \frac{4}{3}}$

Combine the numerators over the common denominator.

$27^{\frac{- 1 + 4}{3}}$

Add $- 1$ and $4$ .

$27^{\frac{3}{3}}$

Divide $3$ by $3$ .

$27^{1}$

Simplify $27^{1}$ .

$27$