   Chapter 2.5, Problem 26E

Chapter
Section
Textbook Problem

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. ( 10 − 4 ) 6 10 4 ⋅ 10 − 3

To determine

To Calculate: The value of the expression (104)6104103 using the laws of exponents by performing the indicated operation.

Explanation

Given Information:

The provided expression is:

(104)6104103

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

The expression for the negative power of 10 is;

10a=110a

Calculation:

Consider the provided expression:

(104)6104103

Apply to raise power of 10 to a power formula in the numerator. That is, multiply the exponents.

(104)6104103=10(4)(6)

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