<span>2 significant digits.
Let's see what the range of possible values you can have for 1.3540980 if your uncertainty is +/- 2%
2% of 1.3540980 = 0.02 * 1.3540980 = 0.027082
So the lowest possible value for your result is
1.3540980 - 0.027082 = 1.327016
The largest possible result is
1.3540980 + 0.027082 = 1.38117996
Notice that only the 1st 2 digits of the result match which is reasonable since a 2% error means that your result is only accurate to within 1 part in 50.</span>
Answer:
n=3/2
Step-by-step explanation:
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Answer:
1
Rewrite 200200 as its prime factors.
\sqrt[3]{2\times 2\times 2\times 5\times 5}32×2×2×5×5
2
Group the same prime factors into groups of three.
\sqrt[3]{(2\times 2\times 2)\times 5\times 5}3(2×2×2)×5×5
3
Rewrite each group of three in exponent form.
\sqrt[3]{{2}^{3}\times 5\times 5}323×5×5
4
Use this rule: \sqrt[3]{{x}^{3}}=x3x3=x.
2\sqrt[3]{5\times 5}235×5
5
Simplify.
2\sqrt[3]{25}2325
6
Rewrite 2525 as {5}^{2}52.
2\sqrt[3]{{5}^{2}}2352
7
Use this rule: {({x}^{a})}^{b}={x}^{ab}(xa)b=xab.
2\times {5}^{\frac{2}{3}}2×532
