AFOQT Practice Test

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Question: 1 / 400

What happens when you raise an exponent to a power?

You multiply the exponents

When you raise an exponent to a power, you multiply the exponents. This follows the exponentiation rule that states if you have a base raised to a power, and then again raised to another power, you get the base raised to the product of the two exponents.

For example, if you start with \( a^{m} \) and raise it to the power of \( n \), you express this mathematically as \( (a^{m})^{n} \). Using the rule, this simplifies to \( a^{m \cdot n} \). Thus, the operation involves multiplying the exponent \( m \) by \( n \) to yield the new exponent.

This operation is crucial in simplifying expressions and is a fundamental concept in algebra that applies across various mathematical contexts, from basic arithmetic to more advanced calculus and beyond. Understanding this rule enables one to manipulate complex exponential expressions efficiently.

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You add the exponents

You divide the exponents

You subtract the exponents

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