Problem 67 - College Algebra

Question

Write each number in decimal notation without the use of exponents. $$6 \times 10^{-4}$$

Step-by-Step Solution

Answer

The decimal representation of \(6 \times 10^{-4}\) without the use of exponents is 0.0006.

Step 1: Identify the exponent

In the number \(6 \times 10^{-4}\), the exponent is -4.

Step 2: Understand what the exponent means

The exponent of -4 means that the decimal point needs to be moved 4 places to the left.

Step 3: Move the decimal point

Moving the decimal point 4 places to the left gives the number 0.0006.