Marvin Mccormick

2021-11-04

Whether the given expression is true or false.
Given information:
${9}^{-\frac{1}{2}}=-3$

BleabyinfibiaG

Concept used:
Reciprocal rule: ${a}^{-n}=\frac{1}{{a}^{n}}$
Calculation:
${9}^{-\frac{1}{2}}=\frac{1}{{9}^{\frac{1}{2}}}$
And 9 is the square of 3.
So we can write it as
${9}^{-\frac{1}{2}}=\frac{1}{{9}^{\frac{1}{2}}}=\frac{1}{{3}^{2×\frac{1}{2}}}=\frac{1}{3}\ne -3$
Therefore, ${9}^{-\frac{1}{2}}\ne -3$
Hence, the given information is false.

Do you have a similar question?