CAT 2020 Surds and Indices Question (Medium)

Question

If , then which of the following equals 64?

Accepted Answer

Step 1 We are given x 4096 7 4 We need to find which expression among the options equals 64. Step 2 Recall that Thus x 2 12 7 4 2 12 7 4 Now calculate Thus x 2 84 48 Step 3 We are given option C x 2 Simplify x 7 2 div x 2 x 2 - 2 Now, exponent of is So left 2 84 48 right 2 - 2 Now Exponent First Now

CAT 2020

Quantitative

Surds and Indices

Medium

If $x = (4096)^{7+4\sqrt{3}}$ , then which of the following equals 64?

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