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Cogito

Algebra 1 · Chapter 6 · Lesson 2

Practice Worksheet

Laws of Exponents

Adding, subtracting, and multiplying the powers.

11 problems · about 22 minutes · N-RN.A.2, A-SSE.B.3

NameDate

Figure — use these to answer the problems

Each power multiplies by the base once more.
Before: 2
After: 8
4 × 2 = 8
The value2
Multiply by4
Divided by1
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. x⁷ · x². Exponent?

    Answer

  2. x³ · x⁶. Exponent?

    Answer

  3. x⁹ ÷ x⁴. Exponent?

    Answer

  4. (x⁴)³. Exponent?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. x⁵ ÷ x⁵. Exponent?

    Answer

  2. 2³. What is the value?

    Answer

  3. Match each expression to what happens to the exponents.

    Draw a line from each item on the left to its match on the right.

    • xᵃ · xᵇ
    • xᵃ ÷ xᵇ
    • (xᵃ)ᵇ
    • Add them
    • Subtract them
    • Multiply them

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

  1. (x³)³. Exponent?

    Answer

  2. x⁸ ÷ x². Exponent?

    Answer

  3. Multiplying

    x⁴ · x⁵. What is the exponent?

    Answer

  4. A Power of a Power

    (x²)⁵. What is the exponent?

    Answer