1. Exponential operation: First, pay attention to simplifying the order. Generally, negative exponent is transformed into positive exponent, root is transformed into fractional power, and decimal is transformed into fraction;

2. Secondly, if there are scores, we should pay attention to the factorization of numerator and denominator in order to achieve the purpose of simplification;

3. When calculating the exponent, we should pay attention to the important conclusion of the radical formula and the flexible application of the exponential power operation nature;

4. Algorithm

Extended data

The size of numbers is a common skill.

1. If the exponents are the same and the bases are different, the monotonicity of the power function is used.

2. If the cardinality is the same, but the exponents (real numbers) are different, the monotonicity of the exponential (logarithmic) function is used.

3. The cardinality is different, and the index (true number) is also different. We should compare the number of media (generally 0 or 1).

4. Intermediate value method: compare the sizes of A and B, first find an intermediate value C, then compare the sizes of A and C, B and C, and get the size between A and B from the transitivity of inequality.

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