To solve: [tex]\tt \hookrightarrow\bigg(\dfrac{3}{2}\bigg)^{-2}[/tex] Solution: To make exponent positive of any rational number, we have to reciprocate it. So, [tex]\tt \hookrightarrow\bigg(\dfrac{3}{2}\bigg)^{-2}[/tex] [tex]\tt \hookrightarrow\bigg(\dfrac{3}{2}\bigg)^{2}[/tex] Now squaring of both numerator and denominator. [tex]\tt \hookrightarrow\dfrac{3^2}{2^2}[/tex] [tex]\tt \hookrightarrow\dfrac{9}{4}[/tex] This is your final answer. Hope it helps 🙂 Reply
To solve:
[tex]\tt \hookrightarrow\bigg(\dfrac{3}{2}\bigg)^{-2}[/tex]
Solution:
To make exponent positive of any rational number, we have to reciprocate it.
So,
[tex]\tt \hookrightarrow\bigg(\dfrac{3}{2}\bigg)^{-2}[/tex]
[tex]\tt \hookrightarrow\bigg(\dfrac{3}{2}\bigg)^{2}[/tex]
Now squaring of both numerator and denominator.
[tex]\tt \hookrightarrow\dfrac{3^2}{2^2}[/tex]
[tex]\tt \hookrightarrow\dfrac{9}{4}[/tex]
This is your final answer.
Hope it helps 🙂