Question 1

What is 0 to the power 0?

Accepted Answer

It is indeterminate in many contexts; calculators may return 1 or undefined depending on convention.

Question 2

Can the base be negative with fractional exponents?

Accepted Answer

Even denominators yield real roots only for special cases; odd roots of negatives are real (e.g., (−8)^(1/3) = −2).

Question 3

How do exponents relate to logarithms?

Accepted Answer

Logarithms invert exponentiation: if b^x = y, then log_b(y) = x.

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