Question

write 1/3 as a power with an integer base

Answer 1

Answer:

$3^{-1}$

Step-by-step explanation:

Using the rule of exponents

$\frac{1}{a^{n} }$ ⇔ $a^{-n}$

Given

$\frac{1}{3}$ = $\frac{1}{3^{1} }$ = $3^{-1}$

Answer 2

When the exponent is a fraction, you're looking for a root of the base. The root corresponds to the denominator of the fraction. For example, take "125 raised to the 1/3 power," or 125^1/3. The denominator of the fraction is 3, so you're looking for the 3rd root (or cube root) of 125