If 10^{2/5} \times 10^{8/5} = 10n, the value of n is:

Surds and Indices Practice Test 1

Question : 3 of 40

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10^{2/5} × 10^{8/5} = 10n

, the value of n is:

Solution:

∵10^{2/5} × 10^{8/5} = 10^n

⇒ 10^{2/5 + 8/5} = 10^n

⇒10^{10/5} = 10^n

⇒10^2 = 10^n

⇒ n = 2

Hence, the value of n is 2.

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