Question

Simplify. Write the answer with positive exponents only. $$t^{-7}$$

   Simplify. Write the answer with positive exponents only.
$$t^{-7}$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 10, Problem 32

Instant Answer

Solved by Expert Liuxi Sun

07/26/2020

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Simplify. Write the answer with positive exponents only. $$t^{-7}$$

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Key Concepts

Reciprocal Rule

The reciprocal rule is used to convert an expression with a negative exponent into its equivalent form using a positive exponent by taking the reciprocal of the base. This is particularly helpful in simplifying expressions and ensuring that all exponents are presented in their standard, positive form.

Negative Exponents

A negative exponent indicates that the base should be taken as the reciprocal raised to the corresponding positive exponent. That is, for any nonzero number a and positive integer n, the expression a^(-n) is equivalent to 1/(a^n). This rule allows us to rewrite expressions with negative exponents in a form that uses only positive exponents.

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