/*! 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 13 Evaluate each exponential expres... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 13

Evaluate each exponential expression. $$2^{2} \cdot 2^{3}$$

Short Answer

Expert verified
The evaluation of the expression \(2^{2} \cdot 2^{3}\) is 32.

Step by step solution

01

Identify the Base and Exponents

The expression presented is \(2^{2} \cdot 2^{3}\). Here, the base is 2 and the exponents are 2 and 3, which applies to the first and second terms, respectively.
02

Apply the Property of Exponents

By the property of exponents, when multiplying expressions with the same base, the exponents are added. So, the expression \(2^{2} \cdot 2^{3}\) becomes \(2^{2+3}\).
03

Evaluate the New Expression

Now add the exponents: \(2^{2+3} = 2^{5}\).
04

Calculate the Final Answer

Finally, raise the base 2 to the power of 5: \(2^{5} = 32\).

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

Find the intersection of the sets. $$\\{w, y, z\\} \cap \varnothing$$

Find all integers \(b\) so that the trinomial can be factored. $$x^{2}+b x+15$$

Find the intersection of the sets. $$\\{1,3,7\\} \cap(2,3,8)$$

Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{5(x+2)}{2 x-14}, \text { for } x=10$$

Determine whether each statement in Exercises 43鈥�50 is true or false. $$0 \geq-13$$
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

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.