/*! 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 14 Evaluate each exponential expres... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 14

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

Short Answer

Expert verified
The result is 243

Step by step solution

01

Identify the Base and Exponents

Here, the base of both exponential expressions is 3, and the exponents are 3 and 2 respectively. Write it as \(3^{3} \cdot 3^{2}\)
02

Apply the Product of Powers Rule

According to the product of powers rule, \(3^{3} \cdot 3^{2}\) can be written as \(3^{3+2}\)
03

Solve the Exponential Expression

Add the exponents and simplify the expression, we get \(3^{5}\)
04

Compute the Result

Now, calculate the base 3 raised to the power of 5 to get the numerical value. The result is 243

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

$$\frac{5}{4} \cdot \frac{8}{15}$$

$$\text { factor completely.}$$ $$x^{4}-y^{4}-2 x^{3} y+2 x y^{3}$$

Find the union of the sets. $$\\{1,3,7,8\\} \cup\\{2,3,8\\}$$

Simplify and express the answer in descending powers of \(x\) : $$2 x\left(x^{2}+4 x+5\right)+3\left(x^{2}+4 x+5\right)$$

$$\text { Factor completely.}$$ $$x^{4}-10 x^{2} y^{2}+9 y^{4}$$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Discrete 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.