   Chapter 2.6, Problem 70E

Chapter
Section
Textbook Problem

Perform the indicated operation (write each result in scientific notation with the decimal part rounded to three significant digits when necessary): ( 2.5 × 10 − 9 5 × 10 − 7 ) 4

To determine

To calculate: The value of the expression (2.5×1095×107)4.

Explanation

Given Information:

The expression is:

(2.5×1095×107)4

Formula used:

To solve the power of a number is scientific notation, the power of the decimal number between 1 to 10 is obtained first. Later on, the exponent of 10 (power of 10) is multiplied with the same power. Further, the result is expressed in form of scientific notation that is in form of a×10n, provided a   is a real number and n   is an integer.

In order to division the numbers available in scientific notation, the decimal between 1 to 10 is divided separately and then the exponent of 10 is subtracted. The result is them further expressed in scientific notation.

Calculation:

Consider the provided expression:

(2.5×1095×107)4

Multiply the power of the decimal part and exponent of 10 is multiplied with the same power.

(2.5×1095×107)4=(2.5)4×(109)4(5)4×(107)4=39

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