   Chapter 2, Problem 28R

Chapter
Section
Textbook Problem

Perform the indicated operations using the laws of exponents and express the result using positive exponents: ( 10 − 3 ⋅ 10 5 ) 3 10 6

To determine

To calculate: The value of the expression (103105)3106.

Explanation

Given Information:

The expression is (103105)3106.

Formula used:

Multiply the exponents when to raise a power of 10 to a power,

(10a)b=10ab

Subtract the exponents when divide two powers of 10,

10a÷10b=10ab

Add the exponents when multiply two powers of 10,

10a×10b=10a+b

Zero power of 10,

100=1

Calculation:

Recall the provided expression.

(103105)3106

(103

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