simplify : 3^-7×10^-8/(30)^-10
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Answer:
2700
Step-by-step explanation:
3-⁷ × 10-⁸/30-¹⁰
= (1/3⁷) × (1/(2 × 5)⁸)/(1/(2 × 5 × 3)¹⁰
= 1 / 3⁷ × 1/2⁸ × 1/5⁸ ÷ 1/(2¹⁰ × 3¹⁰ × 5¹⁰)
= 2¹⁰/2⁸ × 3¹⁰/3⁷ × 5¹⁰/5⁸
= 2² × 3³ × 5²
= 4 × 27 × 25
= 2700
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