Answer:
A. 16 × 10¯⁷
B. 2 × 10⁷
Step-by-step explanation:
A. 8×10¯³ × 2×10¯⁴
Recall:
Mᵃ × Mᵇ = Mᵃ⁺ᵇ
Thus,
(8×10¯³) × (2×10¯⁴) = (8×2) × 10¯³ ⁺ ¯⁴
= 16 × 10¯³¯⁴
= 16 × 10¯⁷
Therefore,
(8×10¯³) × (2×10¯⁴) = 16 × 10¯⁷
B. (6×10²) ÷ (3×10¯⁵)
Recall:
Mᵃ ÷ Mᵇ = Mᵃ¯ᵇ
Thus,
(6×10²) ÷ (3×10¯⁵) = (6/3) × 10² ¯ ¯⁵
= 2 × 10²⁺⁵
= 2 × 10⁷
Therefore,
(6×10²) ÷ (3×10¯⁵) = 2 × 10⁷
