Chapter 7: Q11. (page 463)

Evaluate each product or quotient. Express the results in scientific notations.
$(2.5 \times 10^{3}) (3 \times 10^{4})$

Short Answer

Expert verified

The result of $(2.5 \times 10^{3}) (3 \times 10^{4})$ is $7.5 \times 10^{7}$ .

Step by step solution

Step 1. Group like terms.

Group like terms in the given expression.

$(2.5 \times 3) (10^{3} \times 10^{4})$

Step 2. Write the property of product of powers.

For any real number a and any integers m and n, $a^{m} \cdot a^{n} = a^{m + n}$ .

Step 3. Apply property of product of powers.

Apply the property of product of powers to the expression obtained in step 1.

$7.5 \times 10^{3 + 4} = 7.5 \times 10^{7}$

Therefore, the result of given product is $7.5 \times 10^{7}$ .

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Evaluate each product or quotient. Express the results in scientific notations.
$(2.5 \times 10^{3}) (3 \times 10^{4})$

Short Answer

Step by step solution

Step 1. Group like terms.

Step 2. Write the property of product of powers.

Step 3. Apply property of product of powers.

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Evaluate each product or quotient. Express the results in scientific notations.2.5×1033×104

Short Answer

Step by step solution

Step 1. Group like terms.

Step 2. Write the property of product of powers.

Step 3. Apply property of product of powers.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Evaluate each product or quotient. Express the results in scientific notations.
$(2.5 \times 10^{3}) (3 \times 10^{4})$