   Chapter 2.5, Problem 16E

Chapter
Section
Textbook Problem

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. ( 10 − 2 10 − 5 ) 3

To determine

To calculate: The value of the expression (102105)3.

Explanation

Given Information:

The power of 10 expression is (102105)3.

Formula used:

The expression for the dividing the powers of 10 is;

10a÷10b=10ab

The expression for the conversion of the raising a power of 10 to a power is;

(10a)b=10ab

The expression for the Negative power of 10 is;

10a=110a

Calculation:

Consider the provided power of 10 expression.

(102105)3

Here, powers of 10 are dividing. So, subtract the exponents

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