Write 2^4 as repeated multiplication and evaluate.
2 × 2 × 2 × 2 = 16
The exponent counts 4 factors of 2; multiply all factors.
Day 076Repeated Factors and Exponents
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 7^4 as repeated multiplication and evaluate. Explain why it differs from 7 × 4.
7 × 7 × 7 × 7 = 2401; 7 × 4 = 28
The exponent counts 4 factors of 7; multiply all factors.
02 · PRACTICE
Your turn
Work in order. Start with the foundations, then build toward explanation and application.
Write 3^4 as repeated multiplication and evaluate.
Write 4^4 as repeated multiplication and evaluate.
Write 2^3 as repeated multiplication and evaluate.
Write 6^3 as repeated multiplication and evaluate.
Write 2^4 as repeated multiplication and evaluate.
Write 5^4 as repeated multiplication and evaluate.
Write 7^2 as repeated multiplication and evaluate. Explain why it differs from 7 × 2.
Write 4^3 as repeated multiplication and evaluate. Explain why it differs from 4 × 3.
Write 6^2 as repeated multiplication and evaluate. Explain why it differs from 6 × 2.
Write 2^3 as repeated multiplication and evaluate. Explain why it differs from 2 × 3.
03 · CHECK
Answers and reasoning
Reveal the teacher answer key
- 3 × 3 × 3 × 3 = 81
The exponent counts 4 factors of 3; multiply all factors.
- 4 × 4 × 4 × 4 = 256
The exponent counts 4 factors of 4; multiply all factors.
- 2 × 2 × 2 = 8
The exponent counts 3 factors of 2; multiply all factors.
- 6 × 6 × 6 = 216
The exponent counts 3 factors of 6; multiply all factors.
- 2 × 2 × 2 × 2 = 16
The exponent counts 4 factors of 2; multiply all factors.
- 5 × 5 × 5 × 5 = 625
The exponent counts 4 factors of 5; multiply all factors.
- 7 × 7 = 49; 7 × 2 = 14
The exponent counts 2 factors of 7; multiply all factors.
- 4 × 4 × 4 = 64; 4 × 3 = 12
The exponent counts 3 factors of 4; multiply all factors.
- 6 × 6 = 36; 6 × 2 = 12
The exponent counts 2 factors of 6; multiply all factors.
- 2 × 2 × 2 = 8; 2 × 3 = 6
The exponent counts 3 factors of 2; multiply all factors.