Question

8x10 to the 4-2.7x10 to the 2

Answer 1

To solve the expression \(8 \times 10^4 - 2.7 \times 10^2\), we need to convert both terms to the same power of ten for easier subtraction.

First, we can express \(2.7 \times 10^2\) in terms of \(10^4\):

\[
2.7 \times 10^2 = 2.7 \times 10^2 \times \frac{10^2}{10^2} = 2.7 \times 100 = 270
\]

So, we need to express it as \(0.027 \times 10^4\):

\[
2.7 \times 10^2 = 0.027 \times 10^4
\]

Now, substitute this back into the original expression:

\[
8 \times 10^4 - 0.027 \times 10^4 = (8 - 0.027) \times 10^4
\]

Calculating the subtraction:

\[
8 - 0.027 = 7.973
\]

Thus, we have:

\[
(8 \times 10^4 - 2.7 \times 10^2) = 7.973 \times 10^4
\]

In standard form, the answer is:

\[
\boxed{7.973 \times 10^4}
\]