Evaluate: 160.16 × 160.04 × 20.2

Q: Evaluate: 160.16 × 160.04 × 20.2

Evaluate: 16^0.16 × 16^0.04 × 2^0.2 ½ 2 ✓ 2⁰ 0 Explanation Step 1: Combine powers with same base (16) 16^0.16 × 16^0.04 = 16^(0.16 + 0.04) = 16^0.2 Step 2: Express 16 as power of 2 16 = 2⁴ Therefore: 16^0.2 = (2⁴)^0.2 Step 3: Apply power rule (2⁴)^0.2 = 2^(4 × 0.2) = 2^0.8 Step 4: Combine with remaining term 2^0.8 × 2^0.2 = 2^(0.8 + 0.2) = 2^1 = 2

Question

Evaluate: 16^0.16 × 16^0.04 × 2^0.2

Answer 1

Evaluate: 16^0.16 × 16^0.04 × 2^0.2

½
2 ✓
2⁰
0

Explanation

Step 1: Combine powers with same base (16)
16^0.16 × 16^0.04 = 16^(0.16 + 0.04)
= 16^0.2

Step 2: Express 16 as power of 2
16 = 2⁴
Therefore: 16^0.2 = (2⁴)^0.2

Step 3: Apply power rule
(2⁴)^0.2 = 2^(4 × 0.2)
= 2^0.8

Step 4: Combine with remaining term
2^0.8 × 2^0.2 = 2^(0.8 + 0.2)
= 2^1
= 2