Question

What does the exponent in an expression indicate?

Ask by Morgan Wright. in South Africa
Jan 23,2025

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Answer

The exponent in an expression shows how many times the base is multiplied by itself. For example, in \( a^n \), \( a \) is multiplied by itself \( n \) times.

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The exponent in an expression indicates how many times a base number is multiplied by itself. For example, in the expression \(2^3\), the base 2 is multiplied by itself three times: \(2 \times 2 \times 2\), resulting in 8. Exponents are a way to express large numbers compactly and are widely used in various fields, including science, finance, and computing. Understanding exponents can simplify complex calculations, but it’s common to make mistakes, like misinterpreting negative exponents. A negative exponent signifies the reciprocal of the base raised to the opposite positive exponent. For instance, \(2^{-3} = \frac{1}{2^3} = \frac{1}{8}\). Misplacing the negative sign can lead to incorrect answers, so always double-check your calculations!

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