Chapter 7: Q12. (page 463)

Evaluate each product or quotient. Express the results in scientific notations.
$\frac{8.8 \times 10^{2}}{4 \times 10^{- 4}}$

Short Answer

Expert verified

The value of $\frac{8.8 \times 10^{2}}{4 \times 10^{- 4}}$ is $2.2 \times 10^{6}$ .

Step by step solution

Step 1. Group powers with same base.

Group powers with same base in the given quotient.

$(\frac{8.8}{4}) (\frac{10^{2}}{10^{- 4}})$

Step 2. Write the rule of quotient of powers.

For any nonzero number x, and any integers m and n, $\frac{x^{m}}{x^{n}} = x^{m - n}$ .

Step 3. Apply the rule of quotient of powers and simplify.

Apply the rule of quotient of powers to step 1 and simplify further.

$(\frac{8.8}{4}) 10^{2 - (- 4)} = 2.2 \times 10^{6}$

Therefore, value of a given quotient is $2.2 \times 10^{6}$ .

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Evaluate each product or quotient. Express the results in scientific notations.
$\frac{8.8 \times 10^{2}}{4 \times 10^{- 4}}$

Short Answer

Step by step solution

Step 1. Group powers with same base.

Step 2. Write the rule of quotient of powers.

Step 3. Apply the rule of quotient of powers and simplify.

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Evaluate each product or quotient. Express the results in scientific notations.8.8×1024×10−4

Short Answer

Step by step solution

Step 1. Group powers with same base.

Step 2. Write the rule of quotient of powers.

Step 3. Apply the rule of quotient of powers and simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Discrete Mathematics

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Evaluate each product or quotient. Express the results in scientific notations.
$\frac{8.8 \times 10^{2}}{4 \times 10^{- 4}}$