Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Simplify the expression. Write the answer in scientific notation.

[tex]
\left(5 \times 10^7\right)\left(3 \times 10^{14}\right)
[/tex]

A. [tex]8 \times 10^{21}[/tex]
B. [tex]15 \times 10^{21}[/tex]
C. [tex]1.3 \times 10^{22}[/tex]

Sagot :

GinnyAnswer
Sure! Let's simplify the given expression [tex]\(\left(5 \times 10^7\right)\left(3 \times 10^{14}\right)\)[/tex] step-by-step:

1. Multiply the coefficients:
[tex]\[ 5 \times 3 = 15 \][/tex]

2. Multiply the powers of 10:
[tex]\[ 10^7 \times 10^{14} = 10^{7+14} = 10^{21} \][/tex]

3. Combine the results:
[tex]\[ (5 \times 3) \times (10^7 \times 10^{14}) = 15 \times 10^{21} \][/tex]

So, the simplified expression in scientific notation is:
[tex]\[ 15 \times 10^{21} \][/tex]

Thus, the correct answer is:
[tex]\[ \boxed{15 \times 10^{21}} \][/tex]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.