Question

please solve step by step ​

Answer 1

Answer:

2.40339 × 10¹⁰ [approx.]     is the correct answer.

Explanation:

⇒ 1.5 × 10⁸ × (29.5)$^{\frac{3}{2} }$

⇒ 1.5 × 10⁸ × (√29.5)³

⇒ 1.5 × 10⁸ × (√29.5 × √29.5 × √29.5)

⇒ 1.5 × 10⁸ × 29.5 × √29.5

⇒ 44.25 × 10⁸ × √29.5

⇒ (177/4) × 10⁸ × (√59/√2)

⇒ [177 × 10⁸ × √59] ÷ [4√2]

⇒ [177 × 10⁸ × √59 × √2] ÷ [4√2 × √2]            

⇒ [177 × 10⁸ × √118] ÷ [8]

⇒ 2.40339 × 10¹⁰ [approx.]                     ←ANSWER

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