Calculating the Product of Two Scientific Notation Numbers

Explanation:

To calculate the product of 6.626 × 10⁻³⁴ J · s and 2.9979 × 10⁸ m/s, we need to multiply these two values. The multiplication of numbers in scientific notation involves multiplying the numbers and adding the exponents of 10.

Let's calculate it step by step:

Multiply the significant figures: 6.626 × 2.9979 = 19.8675094.

Add the exponents of 10: (-34) + (8) = -26.

Combine to create the final answer in scientific notation: 19.8675094 × 10⁻²⁶.

Since the answer should be in normalized scientific notation (where the significant figure is between 1 and 10), we adjust the significant figures to two decimal places and adjust the exponent accordingly to get 1.987 × 10⁻²⁵ J · m/s. Rounding this off matches it to the answer choice of 1.986 × 10⁻²⁵ J · m/s given.