Question

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Answer 1

Step-by-step explanation:

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Answer 2

㏒ₐ b means "What exponent for a is needed to become b?"

√x is taken as x^1/2. Because of √x × √x = x, it should be x^1/2 * x^1/2 = x^1.

㏒ₓ √x: "What exponent for x is needed to become √x?"

The answer is 1/2.

Now, as we know 512 is 2^9, what exponent for 2 is needed to become 2^9?

The answer is 9.

As we know 0.01 = (1/10)^2 = 10^-2, what exponent for 10 is needed to become 10^-2?

The answer is -2.