Simplify. ((2)/(t))^-4

Name: Problem 56, Chapter 5: Elementary and Intermediate Algebra
Uploaded: 2020-04-04T07:44:57-08:00
Duration: 1 min 14 s
Channel: Shaza Hammoud
Description: Simplify. ((2)/(t))^-4

step 1 And this question is required to simplify the following expropriation. So the base here is a fra

Question

Simplify. $\left(\frac{2}{t}\right)^{-4}$

   Simplify.
$\left(\frac{2}{t}\right)^{-4}$

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 5, Problem 56

Instant Answer

Solved by Expert Shaza Hammoud

04/04/2020

Step 1

The exponent is negative, so we can change the sign of the exponent to positive by taking the reciprocal of the base. Show more…

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Simplify. $\left(\frac{2}{t}\right)^{-4}$

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Key Concepts

Negative Exponent Rule

This rule states that an expression raised to a negative exponent is equal to the reciprocal of the expression raised to the corresponding positive exponent. It is formulated as a^(-n) = 1/(a^n), and is essential when simplifying expressions that involve negative exponents.

Exponent Distribution over a Fraction

When a fraction is raised to an exponent, the exponent is distributed to both the numerator and the denominator according to the rule (a/b)^n = a^n/b^n. This concept is useful for simplifying expressions by applying the exponent to each part of the fraction separately.

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