# How do exponents raised to another exponent work?

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Basic positive integer exponents can be seen as repeated multiplication in one way:

Next, we discover:

So:

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Exponents raised to another exponent follow the rule known as the power of a power rule, which states that when you have an exponent raised to another exponent, you multiply the exponents together. In mathematical terms, it can be represented as ( (a^m)^n = a^{m \times n} ). This means that you first raise the base to the power of the inner exponent, and then raise the result to the outer exponent. For example, ( (2^3)^2 ) would be calculated as ( 2^{3 \times 2} = 2^6 ), which equals 64.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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