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8 votes
8 votes
Express each of the following rational numbers in power notation
(i) -1/125



User Gilligan
by
2.8k points

1 Answer

19 votes
19 votes

Answer:


\displaystyle \large{-5^(-3)}

Explanation:

Given:


\displaystyle \large{-(1)/(125)}

Convert to exponent using the laws of exponent:


\displaystyle \large{(1)/(a^n) = a^(-n)}

That means we must find the base and exponent for 125, which is
\displaystyle \large{5^3}:


\displaystyle \large{-(1)/(125) = -(1)/(5^3)}

From the law of exponent:


\displaystyle \large{-(1)/(5^3) = -5^(-3)}

Therefore, the solution is
\displaystyle \large{-5^(-3)}

User Chonnychu
by
3.2k points