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Question

Find the value of the following expression:

322/51/2


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Solution

Step 1: Factorise 32 into prime numbers.

322/51/2=322/51/2=2×2×2×2×22/51/2=252/51/2

Step 2: Simplify the above expression using the laws of rational exponents.

252/51/2=25×2512pnm=pm×n=2212=22×12=21=12pn=1pn

Hence, the value of the given expression is 12.


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