Question

Evaluate expression. $27^{-4 / 3}$

Name: Problem 35, Chapter 7: Algebra for College Students
Uploaded: 2020-04-22T07:53:14-08:00
Duration: 1 min 12 s
Channel: Jeyasree R T
Description: Evaluate expression. 27^-4 / 3

   Evaluate expression.
$27^{-4 / 3}$

Algebra for College Students

Mark Dugopolski 5th Edition

Chapter 7, Problem 35

Instant Answer

Solved by Expert Jeyasree R T

04/22/2020

Step 1

This is equivalent to $1 / 27^{4 / 3}$. Show more…

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Evaluate expression. $27^{-4 / 3}$

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Key Concepts

Rational Exponents

Rational exponents, expressed as fractions, combine the ideas of roots and powers. The numerator of the fraction indicates the power while the denominator signifies the root, allowing for a unified approach to exponentiation that bridges exponential and radical expressions.

Exponentiation Rules

Exponentiation rules encompass the properties and laws that govern the manipulation of expressions involving exponents. These rules include the handling of negative exponents, fractional exponents, and the power of a product or quotient, providing a systematic method for simplifying and evaluating complex exponential expressions.

Negative Exponents

Negative exponents indicate that the base should be inverted (taking the reciprocal) and then raised to the corresponding positive exponent. This concept helps in rewriting expressions by turning division into multiplication and vice versa.

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