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Chapter 5: Problem 86

Perform the indicated operation and express each answer in decimal notation. \(\frac{20 \times 10^{20}}{10 \times 10^{15}}\)

Short Answer

Expert verified
The answer is \(2,000,000\).

Step by step solution

01

Understand the problem

Here, we are asked to perform the operation: \(\frac{20 \times 10^{20}}{10 \times 10^{15}}\). This exercise involves multiplication and division of numbers which are both base 10 and with exponents.
02

Divide constants

First, divide the constants 20 and 10, which gives us 2. So our equation becomes \(2 \times \frac{10^{20}}{10^{15}}\).
03

Apply exponent subtraction rule

As we know, when dividing like bases, the exponents should be subtracted. Hence, \( \frac{10^{20}}{10^{15}}\) becomes \(10^{(20 - 15)}\) which simplifies to \(10^5\).
04

Multiply constant by power of 10

Now, we have \(2 \times 10^5\). Perform the multiplication.
05

Write the final answer in decimal notation

Converting \(2 \times 10^5\) to decimal notation yields the final answer.

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