Question

Find (3.2 x 1019, (3.75 x 109 (4 x 105)(6 x 105 expressed in scientific notation A) 2.0 x 105 B) 3.0 x 10 5.0 x 104 D) 5.0 x 10​

Answer 1

The solution is C. 5,0 × 10⁴

Explanation:

`\sf \frac{(3.2 * {10}^(10))(3.75 * {10}^(6)) }{(4 * {10}^(6))(6 * {10}^(5)) } \\ \\ = \sf \frac{(3.2 * 3.75)({10}^(10) * {10}^(6)) }{(4 * 6)({10}^(6) * {10}^(5)) } \\ \\ = \sf \frac{12 * {10}^(10 + 6) }{24 * {10}^(6 + 5) } \\ \\ = \sf (12)/(24) * \frac{{10}^(16)}{{10}^(11)} \\ \\ = \sf 0.5 * {10}^(16 - 11) \\ \\ = \sf 0.5 * {10}^(5) \\ \\ = \sf 5 * {10}^(4)`