/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 5 Evaluate each exponential expres... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 5

Evaluate each exponential expression. $$ -2^{6} $$

Short Answer

Expert verified
The result of evaluating the exponential expression \( -2^{6} \) is \(64\).

Step by step solution

01

Understand Exponential Notation

Exponential notation is a way of representing numbers or expressions in the form \( a^{n} \). Here, 'a' is known as the base and 'n' as the exponent (or power). It represents the operation of multiplying 'a' by itself 'n' times. it doesn't involve making any calculations regarding the base itself but rather what number of times it should be multiplied with itself.
02

Apply Exponential Notation

Apply exponential notation to the given expression \( -2^{6} \). This means that we need to multiply \(-2\) by itself \(6\) times.
03

Calculation

Perform the calculation \((-2) * (-2) * (-2) * (-2) * (-2) * (-2)\) which equals \(64\) since a negative number multiplied by itself an even number of times gives a positive result.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Will help you prepare for the material covered in the next section. A. Use a calculator to approximate \(\sqrt{300}\) to two decimal places. B. Use a calculator to approximate \(10 \sqrt{3}\) to two decimal places. C. Based on your answers to parts (a) and (b), what can you conclude?

Explain how to simplify \(\sqrt{10} \cdot \sqrt{5}\).

What difference is there in simplifying \(\sqrt[3]{(-5)^{3}}\) and \(\sqrt[4]{(-5)^{4} ?}\)

Can a real number be both rational and irrational? Explain your answer.

Will help you prepare for the material covered in the next section. A. Simplify: \(21 x+10 x\) B. Simplify: \(21 \sqrt{2}+10 \sqrt{2}\)
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.