HarlynnK295162 HarlynnK295162
  • 25-10-2022
  • Mathematics
contestada

What is the quotient of 2.592 x 10^7 and 7.2 x 10^4 expressed in scientific notation?

Respuesta :

MaleficentN511329 MaleficentN511329
  • 25-10-2022

Answer:

Explanation:

Given the expression:

[tex]\frac{2.592\times10^7}{7.2\times10^4}[/tex]

We can rewrite it as:

[tex]\frac{2592\times10^{-3}\times10^7}{72\times10^{-1}\times10^4}[/tex]

Combine all powers of 10:

[tex]\begin{gathered} =\frac{2592\times10^{-3+7}}{72\times10^{-1+4}^{}} \\ =\frac{2592\times10^4}{72\times10^3} \\ =\frac{2592}{72^{}}\times\frac{10^4}{10^3} \\ =36\times10 \\ =3.6\times10^1\times10^1 \\ =3.6\times10^{1+1} \\ =3.6\times10^2 \end{gathered}[/tex]

The quotient expressed in scientific notation is 3.6 x 10².

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