   Chapter 2, Problem 42R

Chapter
Section
Textbook Problem

Perform the indicated operation and write each result in scientific notation: ( 1.2 × 10 − 2 3 × 10 − 5 ) 3

To determine

To calculate: The simplified form of the expression (1.2×1023×105)3 by performing indicated operations and write each result in scientific notation.

Explanation

Given Information:

The provided expression is (1.2×1023×105)3.

Formula used:

Steps for simplifying to scientific notation:

1. Read the number from left to right, and place the decimal point after first non-zero number.

2. Place the caret at the place of the original decimal place.

3. If the decimal point is towards the left of the caret, then the exponent of the power of 10 is equal to the number of place the decimal is placed.

4. If the decimal point is towards the right of the caret, then the exponent of the power of 10 is equal to the negative number of the place the decimal is placed.

Power of 10:

1. In case of multiplication of exponent of the power of 10, the powers are added.

2. In case of division of the exponent of the power of 10, the powers are subtracted.

Calculation:

Consider the given expression,

(1.2×1023×105)3

Now to solve and simplify the fractions,

(1.2×1023×105)3=((1.2)3(3)3)×((102)3(105)3)=(1

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