Write & Expand
Write 5 × 5 × 5 using an exponent.
5³. There are three equal factors of 5.
Which is equal to 2³: 2 × 3 or 2 × 2 × 2?
2 × 2 × 2 = 8. The exponent tells the number of equal factors.
Which is greater: 3² or 2³? Explain.
3² is greater: 9 > 8.
Evaluate (0.5)². Write the multiplication first.
0.5 × 0.5 = 0.25.
A cube has side length 3 cm. Write an exponent expression for its volume.
3³ cubic centimeters. Cube volume is side × side × side.
Write 3⁴ in expanded form, then find its value.
3 × 3 × 3 × 3 = 81.
Rewrite 9² as a power with base 3.
3⁴. Since 9 = 3 × 3, then 9 × 9 has four factors of 3.
Evaluate 4³ ÷ 4². Expand the powers to check.
4. (4 × 4 × 4) ÷ (4 × 4) = 64 ÷ 16 = 4.
Evaluate (0.2)³. Write the expanded form.
0.2 × 0.2 × 0.2 = 0.008.
Find the volume of a cube with side length 4 m.
4³ = 4 × 4 × 4 = 64 cubic meters (64 m³).
Write 64 as a power with base 2. Show the equal factors.
2⁶ = 2 × 2 × 2 × 2 × 2 × 2 = 64.
Select ALL expressions equal to 16: 2⁴, 4², 8², 2 × 8.
2⁴, 4², and 2 × 8 all equal 16. But 8² = 64.
Compare 2⁵ ÷ 2² and 3². Use <, >, or =.
2⁵ ÷ 2² < 3² because 32 ÷ 4 = 8, and 8 < 9.
A student says (0.4)² = 0.8. Correct the error.
(0.4)² = 0.4 × 0.4 = 0.16. The student multiplied the base by 2 instead of using two equal factors.
A cube has side length 0.5 m. Find its volume.
(0.5)³ = 0.5 × 0.5 × 0.5 = 0.125 cubic meters (0.125 m³).