Write the Fraction in Simplest Form 14/(14^(1/8))

$\frac{14}{14^{\frac{1}{8}}}$

Step 1

Move $14^{\frac{1}{8}}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$14 \cdot 14^{- \frac{1}{8}}$

Step 2

Multiply $14$ by $14^{- \frac{1}{8}}$ by adding the exponents.

Multiply $14$ by $14^{- \frac{1}{8}}$ .

Raise $14$ to the power of $1$ .

$14^{1} \cdot 14^{- \frac{1}{8}}$

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

$14^{1 - \frac{1}{8}}$

Write $1$ as a fraction with a common denominator.

$14^{\frac{8}{8} - \frac{1}{8}}$

Combine the numerators over the common denominator.

$14^{\frac{8 - 1}{8}}$

Subtract $1$ from $8$ .

$14^{\frac{7}{8}}$