Math, asked by im620188, 7 hours ago

Aradhya kashyap answer me.​

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Answers

Answered by llaradhyakashyapll
2

Step-by-step explanation:

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Answered by joelpaulabraham
0

Answer:

Reciprocal will be (2/3)⁵

Step-by-step explanation:

We have,

(2/3)^(-2) ÷ (2/3)³

Now,

We know that,

(a^m) ÷ (a^n) = a^(m - n)

That is,

If the same base raised to different powers is divided, then it is equal to, the base raised to the difference of the powers.

Here,

a = (2/3)

m = (-2)

n = 3

Then,

(2/3)^(-2) ÷ (2/3)³ = (2/3)^(-2 - 3)

= (2/3)^(-5)

But we know that,

(a/b)^(-m) = (b/a)^m

So,

(2/3)^(-5) = (3/2)⁵

Hence,

Reciprocal will be (2/3)⁵

Hope it helped you and believing you understood it...All the best

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