Math / Numbers & Operations

QuestionCalculate. $\frac{6 \times 10^{7}}{2 \times 10^{4}}$
Write your answer in scientific notation.

Studdy Solution

STEP 1

1. The expression to be calculated is $\frac{6 \times 10^{7}}{2 \times 10^{4}}$ .
2. The answer should be expressed in scientific notation.

STEP 2

1. Simplify the coefficients.
2. Simplify the powers of ten.
3. Combine the results and express in scientific notation.

STEP 3

Simplify the coefficients by dividing $6$ by $2$ .
$\frac{6}{2} = 3$

STEP 4

Simplify the powers of ten by applying the rule $\frac{10^a}{10^b} = 10^{a-b}$ .
$\frac{10^{7}}{10^{4}} = 10^{7-4} = 10^{3}$

STEP 5

Combine the simplified coefficient and power of ten to express the result in scientific notation.
$3 \times 10^{3}$
The result of the calculation in scientific notation is:
$\boxed{3 \times 10^{3}}$

Was this helpful?

QuestionCalculate. $\frac{6 \times 10^{7}}{2 \times 10^{4}}$
Write your answer in scientific notation.

Studdy Solution

STEP 1

1. The expression to be calculated is $\frac{6 \times 10^{7}}{2 \times 10^{4}}$ .
2. The answer should be expressed in scientific notation.

STEP 2

1. Simplify the coefficients.
2. Simplify the powers of ten.
3. Combine the results and express in scientific notation.

STEP 3

Simplify the coefficients by dividing $6$ by $2$ .
$\frac{6}{2} = 3$

STEP 4

Simplify the powers of ten by applying the rule $\frac{10^a}{10^b} = 10^{a-b}$ .
$\frac{10^{7}}{10^{4}} = 10^{7-4} = 10^{3}$

STEP 5

Combine the simplified coefficient and power of ten to express the result in scientific notation.
$3 \times 10^{3}$
The result of the calculation in scientific notation is:
$\boxed{3 \times 10^{3}}$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionCalculate. 6×1072×104\frac{6 \times 10^{7}}{2 \times 10^{4}}2×1046×107​Write your answer in scientific notation.

Studdy Solution

STEP 1

1. The expression to be calculated is 6×1072×104\frac{6 \times 10^{7}}{2 \times 10^{4}}2×1046×107​.2. The answer should be expressed in scientific notation.

STEP 2

1. Simplify the coefficients.2. Simplify the powers of ten.3. Combine the results and express in scientific notation.

STEP 3

Simplify the coefficients by dividing 666 by 222.62=3 \frac{6}{2} = 3 26​=3

STEP 4

Simplify the powers of ten by applying the rule 10a10b=10a−b\frac{10^a}{10^b} = 10^{a-b}10b10a​=10a−b.107104=107−4=103 \frac{10^{7}}{10^{4}} = 10^{7-4} = 10^{3} 104107​=107−4=103

STEP 5

Combine the simplified coefficient and power of ten to express the result in scientific notation.3×103 3 \times 10^{3} 3×103 The result of the calculation in scientific notation is:3×103\boxed{3 \times 10^{3}}3×103​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionCalculate. $\frac{6 \times 10^{7}}{2 \times 10^{4}}$
Write your answer in scientific notation.

1. The expression to be calculated is $\frac{6 \times 10^{7}}{2 \times 10^{4}}$ .
2. The answer should be expressed in scientific notation.

1. Simplify the coefficients.
2. Simplify the powers of ten.
3. Combine the results and express in scientific notation.

Simplify the coefficients by dividing $6$ by $2$ .
$\frac{6}{2} = 3$

Simplify the powers of ten by applying the rule $\frac{10^a}{10^b} = 10^{a-b}$ .
$\frac{10^{7}}{10^{4}} = 10^{7-4} = 10^{3}$

Combine the simplified coefficient and power of ten to express the result in scientific notation.
$3 \times 10^{3}$
The result of the calculation in scientific notation is:
$\boxed{3 \times 10^{3}}$