Compute (4.29*1015) ⋅ (1.96*10-4).

Express your answer to three digits.

(4.29*10¹⁵) ⋅ (1.96*10⁻⁴) = 8.40 * 10¹¹, has three significant digits.

Explanation:

To solve: (4.29*10¹⁵) ⋅ (1.96*10⁻⁴)

According to the product rule of exponents, when exponents having the same base are multiplied, the base is kept the same and the powers are added.

Therefore,

(4.29*10¹⁵) ⋅ (1.96*10⁻⁴) = (4.29 * 1.96) · 10⁽¹⁵⁻⁴⁾ = 8.40 * 10¹¹

The number, 8.40 * 10¹¹ has three significant digits.