Evaluate the following. 7 3 7^3

we're asked to evaluate the following. And we're given here seven cubed or seven to the third power. So this means that I need to take seven and multiply it by itself three times. Seven times seven times seven. So in order to evaluate this, we now need to perform this multiplication. So we can start with just seven times seven. Seven times seven gives us 49. Then I need to take that 49 and multiply it by that remaining seven. Now 49 times seven, if you're able to use a calculator in your course, you can just type this right into your calculator. If not, you can perform this multiplication using whatever method you prefer. I'm gonna go ahead and set this up as 49 times seven, stacking them vertically to more easily perform this multiplication. So I'm gonna take seven times nine, which gives me 63. So I need to put my three down here, my six up at the top. Then I multiply seven times four, which gives me 28, and I need to add that six. So 28 plus six gives me 34. So that tells me that 49 times seven is 343, which gives me my final answer that seven cubed equals 343. If you have any questions, let me know, and let's keep practicing.

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1. Review of Real Numbers2h 43m

Simplifying Fractions
30m

Evaluating Exponents
29m

Evaluating Expressions
15m

Translating Phrases to Expressions
16m

Translating Sentences to Equations
9m

The Distributive Property
17m

Simplifying Expressions
44m

2. Linear Equations and Inequalities5h 35m

Solving Linear Equations
2h 23m

Linear Inequalities in One Variable
46m

Set Operations and Compound Inequalities
1h 7m

Absolute Value Equations
38m

Absolute Value Inequalities
39m

3. Solving Word Problems2h 46m

Introduction to Problem Solving
37m

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25m

Percent Problem Solving
59m

Mixture Problem Solving
43m

4. Graphs and Functions4h 44m

The Rectangular Coordinate System
44m

Graph Linear Equations in Two Variables
24m

Graph Linear Equations Using Intercepts
23m

Slope of a Line
44m

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38m

Point Slope Form
22m

Linear Inequalities in Two Variables
28m

Introduction to Relations and Functions
25m

Function Notation
15m

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17m

5. Systems of Linear Equations1h 53m

Solving Systems of Linear Equations by Graphing
29m

Solving Systems of Linear Equations by Substitution
15m

Solving Systems of Linear Equations by Elimination
45m

Systems of Linear Inequalities
23m

6. Exponents, Polynomials, and Polynomial Functions3h 17m

The Product Rule
9m

The Quotient Rule
10m

Intro to the Power Rules
17m

The Power of a Quotient Rule
13m

Negative Exponents
24m

Simplifying Exponential Expressions Using All Exponent Rules
6m

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21m

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38m

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34m

7. Factoring2h 49m

Factoring by Greatest Common Factor & Grouping
37m

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11m

Factoring Trinomials of the Form ax² + bx + c
37m

Factoring Special Products
41m

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41m

8. Rational Expressions and Functions3h 16m

Simplifying Rational Expressions
42m

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25m

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19m

Least Common Denominators
32m

Adding and Subtracting Rational Expressions with Different Denominators
32m

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44m

9. Roots, Radicals, and Complex Numbers2h 33m

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11m

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27m

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19m

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23m

Introduction to Complex Numbers
18m

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51m

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25m

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26m

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31m

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25m

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13m

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26m

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32m

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40m

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27m

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29m

Factorials
13m

1. Review of Real Numbers

Evaluating Exponents

Intermediate Algebra

1. Review of Real Numbers

Evaluating Exponents

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Multiple Choice

Evaluate the following.
$7 cubed$

$21$

$49$

$343$

$140.6$

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Verified step by step guidance

Identify the expression to evaluate: \$7^3$, which means 7 raised to the power of 3.

Recall that an exponent indicates how many times to multiply the base by itself. So, \$7^3$ means $7 \times 7 \times 7$.

Perform the multiplication step-by-step: first multiply the first two sevens, $7 \times 7$, to get an intermediate product.

Next, multiply the intermediate product by 7 again to complete the calculation of \$7^3$.

The final product after these multiplications is the value of \$7^3$.

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