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Question Video: Writing a Numerical Expression as an Exponent Mathematics

What terminology do we use to describe the 1/2 in the expression (1/2)⁡ and the 5 in the expression (1/2)⁡?

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Video Transcript

What terminology do we use to describe the half in the expression one-half to the fifth power and the five in the expression one-half to the fifth power?

We begin by recalling that an expression of the form π‘Ž to the 𝑛th power is called an exponential expression or the 𝑛th power of π‘Ž. We call π‘Ž the base of the expression and 𝑛 the exponent or power. In this question, we have the expression one-half to the fifth power. The one-half is the number that is being taken to a power, and the five is the power itself. We can therefore conclude that in the expression one-half to the fifth power, one-half is called the base of the expression and five is called the exponent of the expression.

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