Question

What is the quotient of 2, point, 5, 9, 2, times, 10, to the power 72.592×10

7
and 7, point, 2, times, 10, to the power 47.2×10
4
expressed in scientific notation?

Answer 1

The quotient of 2.592 × 1072 and 7.2 × 1047 in scientific notation is 3.6 × 1024.

Step-by-step explanation:

To find the quotient of 2.592 × 1072 and 7.2 × 1047 expressed in scientific notation, we need to divide the two numbers. Scientific notation is a way of expressing very large or very small numbers by breaking them down into a number between 1 and 10 multiplied by a power of 10. So, first, we divide the coefficients (2.592 divided by 7.2), then we subtract the exponents (72 minus 47).

Dividing the coefficients gives us approximately 0.36. In scientific notation, we want a number between 1 and 10, so we would adjust this to 3.6 and decrease the exponent by 1. Subtracting the exponents (72-47) gives us 25.

Now, we modify our result to fit into scientific notation: 3.6 × 10(25-1) or 3.6 × 1024. This is our final answer expressed in scientific notation.