Question

Evaluate expression. $16^{-3 / 2}$

Name: Problem 37, Chapter 7: Algebra for College Students
Uploaded: 2020-04-22T07:57:30-08:00
Duration: 1 min 3 s
Channel: Jeyasree R T
Description: Evaluate expression. 16^-3 / 2

   Evaluate expression.
$16^{-3 / 2}$

Algebra for College Students

Mark Dugopolski 5th Edition

Chapter 7, Problem 37

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Solved by Expert Jeyasree R T

04/22/2020

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Evaluate expression. $16^{-3 / 2}$

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Key Concepts

Rational Exponents

Rational exponents, expressed as a fraction (m/n), represent both a power and a root. Specifically, a^(m/n) can be interpreted as the nth root of a raised to the m power, providing a unified way to deal with radicals and exponents.

Properties of Exponents

The properties of exponents, including product, quotient, and power rules, allow for the simplification and manipulation of expressions that involve exponentiation. These properties are fundamental in evaluating complex expressions and transitioning between radical and exponential forms.

Negative Exponents

Negative exponents indicate the reciprocal of the base raised to the corresponding positive exponent. For instance, a^(-n) is equivalent to 1/(a^n), a property that is widely used to simplify expressions in algebra.

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