Final: Roots and Powers

Part of the Numbers & Operations section of Coddy's Pre-Algebra journey. Lesson 57 of 60.

This line mixes a square root, a cube and a power of -1. Each of them turns into a single number before anything is added or subtracted, and then what is left is worked left to right.

Challenge

Work out √(49) - 2^3 + (-1)^6.

Try it yourself

sqrt(49) - 2^3 + (-1)^6

Simplify the expression

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Numbers & Operations

1Working on the Board

Your First Answer Type the Next Line One Line at a Time Dots and Bars Friendly Products Recap: Board Work

4Adding Integers

Adding Two Negatives Different Signs Zero Pairs Adding Several Integers Recap: Adding Integers

7Exponents

Repeated Multiplication Squares and Cubes Powers of Ten Negative Bases Where the Minus Sits Recap: Exponents

10Numbers in Stories

Temperature Changes Money Owed Up and Down Equal Shares Recap: Number Stories

2Order of Operations

Multiply Before Adding Left to Right Parentheses First Brackets Inside Brackets The Fraction Bar Groups Recap: Order of Operations

5Subtracting Integers

Add the Opposite Subtracting a Negative Plus and Minus in a Row Distance Between Numbers Recap: Subtracting Integers

8Square Roots

Perfect Squares Undoing a Square Roots in Expressions The Root Sign Groups Between Two Whole Numbers Recap: Square Roots

11Final Challenges

Final: Every Rule at OnceFinal: Roots and PowersFinal: The Freezer Final: Over the Bar Final: On the Line

3Negative Numbers

Below Zero Opposites Greater or Less Absolute Value Recap: The Number Line

6Multiplying and Dividing

Negative Times Positive Two Negatives Counting the Negatives Dividing Integers Zero in Division Recap: Multiply and Divide

9Putting It All Together

Powers Before Products Negatives Inside Negative Bases in Sums Everything at Once Recap: The Full Order