Cubes and Higher Powers
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Cubes and Higher Powers
📚 Understanding Powers and Cubes
Key Information:
• A power tells us how many times to multiply a number by itself
• 2³ = 2 × 2 × 2 = 8 (read as "2 cubed" or "2 to the power of 3")
• 3⁴ = 3 × 3 × 3 × 3 = 81 (read as "3 to the power of 4")
• The small number is called the index or power
a) 5³ means multiply 5 by itself _______ times
b) In the expression 4², the number 4 is called the _______ and 2 is called the _______
a) 3³ = _____ × _____ × _____
b) 2⁴ = _____ × _____ × _____ × _____
c) 6² = _____ × _____
a) 1³ = _____
b) 2³ = _____
c) 3³ = _____
d) 4³ = _____
e) 5³ = _____
a) 2⁴ = _____
b) 3⁴ = _____
c) 1⁴ = _____
🔢 Working with Higher Powers
a) 6² = _____
b) 7² = _____
c) 8² = _____
d) 9² = _____
e) 10² = _____
a) 2⁵ = _____
b) 3⁵ = _____
c) 10³ = _____
d) 10⁴ = _____
a) 3⁴ or 4³? ________________
b) 2⁶ or 6²? ________________
🎯 Problem Solving with Powers
Volume = _______ cm³
10¹ = 10
10² = 100
10³ = _____
10⁴ = _____
10⁵ = _____
Describe the pattern: ________________________________________________
n = _____
Write as a power: _____________
Calculate: _______ bacteria
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