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Chapter 0: Problem 68

Write each number in decimal notation without the use of exponents. $$7 \times 10^{-5}$$

Short Answer

Expert verified
The expression \(7 \times 10^{-5}\) in decimal notation without the use of exponents is 0.00007.

Step by step solution

01

Understand Negative Exponent Rule

A negative exponent such as \(-5\) in \(10^{-5}\) represents a reciprocal. Therefore, \(10^{-5}\) is equivalent to \(1 / 10^{5}\).
02

Convert to Decimal Notation

Given the rule from Step 1, \(1 / 10^{5}\) equals to \(0.00001\).
03

Apply the Multiplication

Multiply \(0.00001\) (which is the decimal equivalent of \(10^{-5}\)) by 7 to obtain the result in decimal notation.

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Most popular questions from this chapter

Perform the indicated operations. $$ [(3 x+y)+1]^{2} $$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$ \frac{1}{2}+\frac{2}{3} $$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) toproduce a true statement. $$534.7=5.347 \times 10^{3}$$

Evaluate each expression without using a calculator. $$16^{-\frac{5}{2}}$$

Fill in each box to make the statement true. $$\sqrt{x}=5 x^{7}$$
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