Problem

Multiply the following and express your answer in appropriate scientific notation: \[ \left(5.9 \times 10^{1}\right) \times\left(1.5 \times 10^{-38}\right) \] product $=$ Question Help: $\square$ Video Check Answer

Solution

Step 1 :Given two numbers in scientific notation: \(5.9 \times 10^{1}\) and \(1.5 \times 10^{-38}\)

Step 2 :To multiply these two numbers, we multiply the base numbers together and add the exponents.

Step 3 :The base numbers are 5.9 and 1.5. Their product is 8.85.

Step 4 :The exponents are 1 and -38. Their sum is -37.

Step 5 :Therefore, the product of the two numbers is \(8.85 \times 10^{-37}\)

Step 6 :Final Answer: The product of \(\left(5.9 \times 10^{1}\right) \times\left(1.5 \times 10^{-38}\right)\) is \(\boxed{8.85 \times 10^{-37}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/41346/

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