Multiply (2.0 ⋅ 10^-4) ⋅ (3.1 ⋅ 10^-20). Express the answer in scientific notation.

Solution:

Given (2.0 × 10^-4)(3.1 × 10^-20)

This is in exponential form.

We need to apply product operation on the integers together and 10 powers together

We have a^m × aⁿ = a^{m + n}

= (2.0 × 10^-4)(3.1 × 10^-20)

= (2.0 × 3.1)(10^-4 × 10^-20)

= 6.2 × 10^{-20 - 4}

= 6.2 × 10^-24

Hence, the scientific notation is(2.0 × 10^-4)(3.1 × 10^-20) = 6.2 × 10^-24

Multiply (2.0 ⋅ 10^-4) ⋅ (3.1 ⋅ 10^-20). Express the answer in scientific notation.

Summary:

The scientific notation is(2.0 × 10^-4)(3.1 × 10^-20) = 6.2 × 10^-24.