Question

find the reciprocal of (2/3) power 4​

Answer 1

Answer:

Step-by-step explanation:

Given that , ( 2/3 )⁴

Reciprocal of ( 2/3 )⁴ is ( 3/2 )⁴.

Answer 2

⭐ Question :-

find the reciprocal of (2/3) power 4.

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⭐ Understanding concept :-

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Before solving this question we need to understand the meaning of reciprocal. Reciprocal means the multiplication inverse of any fraction. We can convert any fraction to reciprocal by bringing the denominator to the numerator place and numerator to the denominator place. First we will find 2⁴ and 3⁴ then turn the fraction upside down.

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⭐ Solution :-

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$\large \implies \tt{( \frac{2}{3} {)}^{4} } \\ \\ \large \implies \tt\frac{ {2}^{4} }{ {3}^{4} } \\ \\ \large \implies \tt{ \frac{16}{81} } \\ \\ \large \implies \tt{ \frac{81}{16} }$

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Therefore, the reciprocal of (2/3)⁴ is 81/16

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joyful learning!!! ⛅