What is the result of (250 x 10 to the power of -6) - (7 x 10 to the power of -5)?

What is the result of (250 x 10 to the power of -6) - (7 x 10 to the power of -5)?

• A. 180 x 10 to the power of -5
• B. 180 x 10 to the power of -6
• C. 180 x 10 to the power of -7
• D. 180 x 10 to the power of -4

Answer: (B)

To solve the expression (250 x 10 to the power of -6) - (7 x 10 to the power of -5), it's essential to express both terms in a consistent format, typically using the same exponent in the power of ten. First, convert the second term (7 x 10 to the power of -5) to have the same exponent as the first term. Since -5 is greater than -6, we can express it as follows: 7 x 10 to the power of -5 = 700 x 10 to the power of -6. Now, the expression looks like this: (250 x 10 to the power of -6) - (700 x 10 to the power of -6). Next, subtract the coefficients: 250 - 700 = -450. This gives us: -450 x 10 to the power of -6. To represent this result in a more standard scientific notation format, we can convert -450 into -4.5 x 10 to the power of 2 (since -450 = -4.5 x 100, and 100 is 10 squared). Therefore, we can rewrite: -450 x 10 to the power of -6

To solve the expression (250 x 10 to the power of -6) - (7 x 10 to the power of -5), it's essential to express both terms in a consistent format, typically using the same exponent in the power of ten.

First, convert the second term (7 x 10 to the power of -5) to have the same exponent as the first term. Since -5 is greater than -6, we can express it as follows:

7 x 10 to the power of -5 = 700 x 10 to the power of -6.

Now, the expression looks like this:

(250 x 10 to the power of -6) - (700 x 10 to the power of -6).

Next, subtract the coefficients:

250 - 700 = -450.

This gives us:

-450 x 10 to the power of -6.

To represent this result in a more standard scientific notation format, we can convert -450 into -4.5 x 10 to the power of 2 (since -450 = -4.5 x 100, and 100 is 10 squared). Therefore, we can rewrite:

-450 x 10 to the power of -6