Complete the rule for division of exponents and the table for 3.1 for powers of 2, given a^m = 22 and n=3.

Step 1: Complete the rule for division of exponents. a^m ÷ aⁿ = a^(m−n) LAW 3 Step 2: Complete the table for 3.1. For a^m = 2², n = 3: (a^m)ⁿ = (2²)³ = 2^(2 × 3) = 2⁶ = 64; Prime factors: 64 = 2⁶; a^(m × n) = 2^(2 × 3) = 2⁶ = 64

Complete the rule for division of exponents and the table for 3.1 for powers of 2, given a^m = 22 and n=3.

Step 1: Complete the rule for division of exponents. a^m ÷ aⁿ = a^(m−n) LAW 3 Step 2: Complete the table for 3.1. For a^m = 2², n = 3: (a^m)ⁿ = (2²)³ = 2^(2 × 3) = 2⁶ = 64; Prime factors: 64 = 2⁶; a^(m × n) = 2^(2 × 3) = 2⁶ = 64

Solved: Complete the rule for division of exponents and the…

For $a^m = 2^2$ $a^{m} = 2^{2}$ , $n = 3$ $n = 3$ :
- $(a^m)^n = (2^2)^3 = 2^{2 \times 3} = 2^6 = \textbf{64}$
- Prime factors: \textbf{64} = \textbf{2^6}
- $a^{m \times n} = 2^{2 \times 3} = 2^6 = \textbf{64}$

Complete the rule for division of exponents and the table for 3.1 for powers of 2, given a^m = 22 and n=3.

Step-by-step solution

Complete the rule for division of exponents.

Complete the table for 3.1.

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