Write 2^4 as repeated multiplication and evaluate.
2 × 2 × 2 × 2 = 16
The exponent counts 4 factors of 2; multiply all factors.
Day 077Powers and Their Values
Standards 6.EE.A.1
LEARNING TARGET
I can write repeated multiplication using a whole-number exponent.
01 · LEARN
Build the idea
The base is the repeated factor and the exponent tells how many copies to multiply. For a positive exponent, 4^3 = 4 × 4 × 4, not 4 × 3. Parentheses show when a whole product is the base.
Write 2^2 as repeated multiplication and evaluate. Explain why it differs from 2 × 2.
2 × 2 = 4; 2 × 2 = 4
The exponent counts 2 factors of 2; multiply all factors.
02 · PRACTICE
Your turn
Work in order. Start with the foundations, then build toward explanation and application.
Write 2^2 as repeated multiplication and evaluate.
Write 3^3 as repeated multiplication and evaluate.
Write 4^3 as repeated multiplication and evaluate.
Write 8^2 as repeated multiplication and evaluate.
Write 7^3 as repeated multiplication and evaluate.
Write 4^2 as repeated multiplication and evaluate.
Write 6^4 as repeated multiplication and evaluate. Explain why it differs from 6 × 4.
Write 3^2 as repeated multiplication and evaluate. Explain why it differs from 3 × 2.
Write 3^4 as repeated multiplication and evaluate. Explain why it differs from 3 × 4.
Write 7^4 as repeated multiplication and evaluate. Explain why it differs from 7 × 4.
03 · CHECK
Answers and reasoning
Reveal the teacher answer key
- 2 × 2 = 4
The exponent counts 2 factors of 2; multiply all factors.
- 3 × 3 × 3 = 27
The exponent counts 3 factors of 3; multiply all factors.
- 4 × 4 × 4 = 64
The exponent counts 3 factors of 4; multiply all factors.
- 8 × 8 = 64
The exponent counts 2 factors of 8; multiply all factors.
- 7 × 7 × 7 = 343
The exponent counts 3 factors of 7; multiply all factors.
- 4 × 4 = 16
The exponent counts 2 factors of 4; multiply all factors.
- 6 × 6 × 6 × 6 = 1296; 6 × 4 = 24
The exponent counts 4 factors of 6; multiply all factors.
- 3 × 3 = 9; 3 × 2 = 6
The exponent counts 2 factors of 3; multiply all factors.
- 3 × 3 × 3 × 3 = 81; 3 × 4 = 12
The exponent counts 4 factors of 3; multiply all factors.
- 7 × 7 × 7 × 7 = 2401; 7 × 4 = 28
The exponent counts 4 factors of 7; multiply all factors.