Chapter 7: Q21. (page 430)

Evaluate each product or quotient. Express the results in scientific notation.
$\frac{7.5 \times 10^{8}}{2.5 \times 10^{4}}$

Short Answer

Expert verified

The value of the given quotient $\frac{7.5 \times 10^{8}}{2.5 \times 10^{4}}$ in scientific notation is $3 \times 10^{4}$ .

Step by step solution

Step 1. Evaluate the given quotient 7.5×1082.5×104.

The value of the given quotient $\frac{7.5 \times 10^{8}}{2.5 \times 10^{4}}$ is:

$\frac{7.5 \times 10^{8}}{2.5 \times 10^{4}} = \frac{7.5}{2.5} \times 10^{8} \times 10^{- 4} (∵ \frac{1}{a^{m}} = a^{- m}) = 3 \times 10^{8 + (- 4)} (∵ a^{m} \times a^{n} = a^{m + n}) = 3 \times 10^{8 - 4} = 3 \times 10^{4}$

Step 2. Express the result of the quotient 7.5×1082.5×104 in scientific notation.

The result of the given quotient $\frac{7.5 \times 10^{8}}{2.5 \times 10^{4}}$ in scientific notation is $3 \times 10^{4}$ .

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Evaluate each product or quotient. Express the results in scientific notation.
$\frac{7.5 \times 10^{8}}{2.5 \times 10^{4}}$

Short Answer

Step by step solution

Step 1. Evaluate the given quotient 7.5×1082.5×104.

Step 2. Express the result of the quotient 7.5×1082.5×104 in scientific notation.

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Evaluate each product or quotient. Express the results in scientific notation.7.5×1082.5×104

Short Answer

Step by step solution

Step 1. Evaluate the given quotient 7.5×1082.5×104.

Step 2. Express the result of the quotient 7.5×1082.5×104 in scientific notation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Calculus

Discrete Mathematics

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Evaluate each product or quotient. Express the results in scientific notation.
$\frac{7.5 \times 10^{8}}{2.5 \times 10^{4}}$