Aradhya kashyap answer me.
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Step-by-step explanation:
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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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