+9673 Simplify the expressions. Round off to 3 significant figures if necessary. Give the answer in scientific notation.
2. (f)
\(\sqrt[3]{1.25\times10^{200}}\)
This is one of the questions of the Law of Indices quiz which I have taken today. No one in the class could do this :( . Thought I would get full marks again :(
(P.S. :I get full marks in nearly every quizes, but not tests)
(P.P.S. : I nearly got full marks in my last yearly exam. Ended up with a score 91 out of 94.)
+118673 Come on Max, cant you work it out from Alan's answer - or do you need more help??
I thought Alan's answer was a good one :))
If you need more help just say so :))
+118673 \sqrt[3]{1.25\times10^{200}}
\(\sqrt[3]{1.25\times10^{200}}\\ =\sqrt[3]{1.25}\times\sqrt[3]{10^{200}}\\ =\frac{\sqrt[3]{125}}{\sqrt[3]{100}}\times\sqrt[3]{10^{198}}*\sqrt[3]{100}\qquad \text{I have used Alan's hit here}\\ =\frac{\sqrt[3]{125}}{1}\times\sqrt[3]{10^{198}}*1\\ =5\times 10^{66}\\\)
So yes your answer is correct :)
