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write 1/3 as a power with an integer base

Sagot :

Answer:

[tex]3^{-1}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{1}{a^{n} }[/tex] ⇔ [tex]a^{-n}[/tex]

Given

[tex]\frac{1}{3}[/tex] = [tex]\frac{1}{3^{1} }[/tex] = [tex]3^{-1}[/tex]

brookebrooke789
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
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