9514 1404 393
Answer:
- exact: 1.3924×10^-10
- rounded to 2 sf: 1.4×10^-10
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)