What is the result of (480 x 10 to the power of -5) divided by (60 x 10 to the power of -3)?

What is the result of (480 x 10 to the power of -5) divided by (60 x 10 to the power of -3)?

• A. 8 x 10 to the power of -1
• B. 8 x 10 to the power of -2
• C. 8 x 10 to the power of -3
• D. 8 x 10 to the power of -4

Answer: (B)

To solve the problem of dividing (480 x 10 to the power of -5) by (60 x 10 to the power of -3), we can break it down step by step. First, restructure the division of the two quantities: (480 x 10^(-5)) / (60 x 10^(-3)) can be rewritten as (480 / 60) x (10^(-5) / 10^(-3)). Now, calculate the first part, which is 480 divided by 60: 480 / 60 = 8. Next, we handle the exponent portion: 10^(-5) / 10^(-3) involves subtracting the exponents. When dividing like bases, you subtract the exponent of the denominator from the exponent of the numerator: -5 - (-3) = -5 + 3 = -2. Now, combine both results: 8 x 10^(-2). This means that the final answer is 8 x 10 to the power of -2. The scientific notation correctly represents numbers, and this result adheres to the rules for arithmetic with powers of ten. So, in this case, the correct answer aligns with option B

To solve the problem of dividing (480 x 10 to the power of -5) by (60 x 10 to the power of -3), we can break it down step by step.

First, restructure the division of the two quantities:

(480 x 10^(-5)) / (60 x 10^(-3)) can be rewritten as (480 / 60) x (10^(-5) / 10^(-3)).

Now, calculate the first part, which is 480 divided by 60:

480 / 60 = 8.

Next, we handle the exponent portion:

10^(-5) / 10^(-3) involves subtracting the exponents. When dividing like bases, you subtract the exponent of the denominator from the exponent of the numerator:

-5 - (-3) = -5 + 3 = -2.

Now, combine both results:

8 x 10^(-2).

This means that the final answer is 8 x 10 to the power of -2. The scientific notation correctly represents numbers, and this result adheres to the rules for arithmetic with powers of ten.

So, in this case, the correct answer aligns with option B