2^3/2^2

Question

(2^2) ^3
2^8×2^−3
2^2/2^3
2^−2×2^−3

Answer 1

Let's simplify each expression step by step:

1. \( \frac{2^3}{2^2} \): \[ \frac{2^3}{2^2} = 2^{3-2} = 2^1 = 2 \]

2. \( (2^2)^3 \): \[ (2^2)^3 = 2^{2 \times 3} = 2^6 = 64 \]

3. \( 2^8 \times 2^{-3} \): \[ 2^8 \times 2^{-3} = 2^{8-3} = 2^5 = 32 \]

4. \( \frac{2^2}{2^3} \): \[ \frac{2^2}{2^3} = 2^{2-3} = 2^{-1} = \frac{1}{2} \]

5. \( 2^{-2} \times 2^{-3} \): \[ 2^{-2} \times 2^{-3} = 2^{-2-3} = 2^{-5} = \frac{1}{32} \]

Here are the simplified results:

1. \( \frac{2^3}{2^2} = 2 \)
2. \( (2^2)^3 = 64 \)
3. \( 2^8 \times 2^{-3} = 32 \)
4. \( \frac{2^2}{2^3} = \frac{1}{2} \)
5. \( 2^{-2} \times 2^{-3} = \frac{1}{32} \)