Question

4. Find the reciprocal of the following:
a. (2/3)to the power of -2 ÷ (3/2)to the power of-4​

Answer 1

Answer:

please watch this video

Step-by-step explanation:

Information : The product of a number and its reciprocal is always equal to 1. ∴ −23×−32=1

Answer 2

Answer:

$\frac{2}{3} reciprocal \: = \frac{3}{2}^{ - 2} \\ divided \: by \: \frac{3}{2}^{ - 4}$

$= \frac{3}{2} camceled \: to \: each \: other \\ now \frac{ - 4}{ - 2} = 2$

$\color{blue}{\boxed{2}}$

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