   Chapter 2.5, Problem 30E

Chapter
Section
Textbook Problem

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. ( 10 − 7 ⋅ 10 − 2 10 9 ) − 3

To determine

To Calculate: The value of the expression (107102109)3 using the laws of exponents by performing the indicated operation.

Explanation

Given Information:

The provided expression is:

(107102109)3

Formula used:

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

(10a)b=10ab

The expression to multiply powers of 10 is;

10a×10b=10a+b

The expression to divide the powers of 10 is;

10a÷10b=10ab

Calculation:

Consider the provided expression:

(107102109)3

Apply multiplying powers of 10 formula in the numerator. That is, add the exponents.

(107102109)3=(10(7)+(

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