(5.5 * 10^-6 + 6.3 * 10^-6)^2

9514 1404 393

Step-by-step explanation:

The factor 10^-6 can be brought out:

  ((5.5 +6.3)×10^-6)^2 = (11.8^2)×10^-12 = 1.3924×10^-10

Often, a problem like this wants you to round to a precision appropriate to the given values. Here, that is 2 significant figures:

  ≈ 1.4×10^-10

Additional comment

Your scientific or graphing calculator can do this nicely, even showing you the result in scientific notation. A spreadsheet can do the same.

The usual rules of exponents apply.

  (a^b)(a^c) = a^(b+c)

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

answer is 12345678900987654321234567890987654321

step-by-step explanation: