When you raise a power
to a power,
you MULTIPLY
the exponents.

When in doubt, expand the terms (as shown at the right) to see what is happening.

Examples:

1. (5^{2})^{5} = 5^{10} Power raised to a power → multiply the exponents.

2. (a^{4})^{3} = a^{12} Power raised to a power → multiply the exponents.

3. (2^{x})^{y}= 2^{xy} Power raised to a power → multiply the exponents.

4. (x^{2})^{x+2} = x^{2x+4} Power raised to a power → multiply the exponents.

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