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Multiplication of Powers with the Same Base

8 / 27-2 / 3 ...

Question

8/27)–²/3×(4/9)³/2

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Solution

(8/27)^-2/3 X (4/9)^3/2

= 1/ (8/27)^2/3 X (4/9)^3/2
= 1/ (2/3)^32/3 x (2/3)^23/2
= 1/ (2/3)^2 x (2/3)^3
= 1/(4/9) x 8/27
= 9/4 x 8/27
=2/3 Ans.

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