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Homework- One to One Solutions
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Maths-

General

Easy

Question

For a positive real number x, where x⁸ = 2, what is the value of x²⁴ ?

$\sqrt[3]{24}$
4
6
8

The correct answer is: 8

HINT: Use the correct exponent rule and proceed.
Complete step by step solution:
Given x⁸ = 2…(i)
From the exponent rule, we know that (a^m)ⁿ = a^{m × n}
By cubing on both the sides of (i),
we get LHS to be (x⁸)³ = x²⁴ and RHS will be 2³ = 8
On equating LHS and RHS, we get x²⁴ = 8
Hence option D is the correct answer

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