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Cogito

Grade 8 Math · Chapter 7 · Lesson 1

Practice Worksheet

Laws of Exponents

Count the factors and the rules explain themselves.

10 problems · about 19 minutes · 8.EE.A.1

NameDate

Figure — use these to answer the problems

A square number really is a square. Set both sides equal.

4 × 4 = 16

Rows4
In each row4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Reading a Graph as a Story”

    A distance graph falls steadily. Is the person moving away or back? 1 for away, 2 for back.

    Answer

  2. From “Rate of Change and Starting Value”

    Through (0, 7) and (3, 19). What is the rate?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 3⁵ × 3² = 3 to what power?

    Answer

  2. Why does multiplying powers add the exponents?

    • You are counting all the factors together.
    • Because that is the rule.

  3. 4² × 4³ = 4 to what power?

    Answer

  4. 6⁸ ÷ 6³ = 6 to what power?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. What is 7⁰?

    Answer

  2. What is 2⁻² as a fraction with top 1? Give the bottom number.

    Answer

Stretch Yourself

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

2 problems

  1. The Product

    2³ × 2² = 2 to what power?

    Answer

  2. The Quotient

    5⁷ ÷ 5⁴ = 5 to what power?

    Answer