Question

write the short form of 8 power -1/3​

Answer 1

REDUCE TO THE SIMPLEST FORM

Given :-

$8^{\frac{-1}{3} }$

Solution :-

$= 8^{\frac{-1}{3} } \\\\= 2^{3*(\frac{-1}{3}) }\\ \\= 2^{-1} \\\\= \frac{1}{2}$

⇒ The reduced form of the given equation is 1/2.

Procedure Followed :-

• 8 can be written as 2³ so we have reduced the form for the number 8.
• The cubic power obtained from reducing the number 8 gets cancelled by the existing power -1/3.
• By this, we receive: $2^{-1}$.
• $2^{-1}$ can be written as $\frac{1}{2^{1} } = \frac{1}{2}$.

Answer 2

Step-by-step explanation:

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