Question

A)2³.4².8²=
B)3².27-¹.9¹=
C)5³.25-¹.625⁰=
D)4³.27².32-¹.2¹.9³=
E)10³.25-².20-².2².5³=
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Answer 1

Resposta:

A) 8.192

B) 3

C) 5

D) 2.125.764

E) 1.250

Explicação passo-a-passo:

A)2³.4².8²= 2³ × (2²)² × (2³)²

2³ × 2⁴ × 2⁶ = 2^(3+4+6) = 2¹³

= 2⁴ × 2⁴ × 2⁴ × 2¹

= 16×16×16×2 = 16³ × 2

= 8.192

B) 3².27-¹.9¹= 3² × (3³)^-1 × 3²

= 3² × 3²÷3³ = 3^4 × 3^-3 = 3^(4-3)

= 3¹ = 3

C)5³.25-¹.625⁰= 5^3 × 5^-2 × 1

625⁰ = 1

5^(3-2) × 1 = 5¹ = 5

D)4³.27².32-¹.2¹.9³= (2²)³ × (3³)² × 2-⁵ 2 × (3²)³

= 2⁶ × 2¹ × 2-⁵ = 3⁶ × 3⁶

= 2^(6+1-5) × 3^(6+6)

= 2² × 3¹² = 4 × 531.441

= 2.125.764

E)10³.25-².20-².2².5³= (2.5)³ × (5.2²)-² × 2².5³

= 2³×5³×2-⁴×5-²×2²×5³

= 2^(3-4+2) × 5^(3-2+3)

= 2¹ × 5⁴ = 2 × 625

= 1.250