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In a paragraph, describe how to simplify each expression. 16 1/2 Square root 100

Mathematics
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????????? why don't u use the equation box to write yr question...
In a paragraph, describe how to simplify each expression. 16 1/2 \[\sqrt{100}\]
is the first one \[16^{1/2}\] ???

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Other answers:

yes
pls note that \[x ^{1/2} = \sqrt{x}\]
why is that
okay I will explain thru an example...
ok awesome
u know that \[\sqrt{4}= 2\] also \[(4)^{1/2} = (2^{2})^{1/2} = 2^{2*1/2} = 2^{1}=2\]
so we find that \[\sqrt{4} = (4)^{1/2}\] because both give same result i.e. 2
\[({8}^2)\]
confused
so we can solve the first one as \[(16)^{1/2} = (4^{2})^{1/2} = 4^{2*1/2} = 4^{1}=4\]
what is confusing u???
Oh because 4x4=16 right
yes
So \[\sqrt{100}= 10 \]
You might want to introduce and include rules of exponents and roots as part of your explanation.
yes that is correct
ok i understood the steps now
ok i understood the steps now
see square and root are opposite operations. so when they occur together, they cancel each other out.... we can show the working for root100 as follows : \[\sqrt{100}=\sqrt{10^{2}}=10\] the square inside and root outside cancel each other out
are u familiar with exponential laws???
makes sense
not really but i can try to find it in my book
yes, u shud have all the laws in front of you and slowly try to learn them by heart....
ok thank u
u r welcome, just keep in mind... \[\sqrt{x}=x ^{1/2}\] \[\sqrt[3]{x}=x ^{1/3}\] \[\sqrt[4]{x}=x ^{1/4}\] and so on....

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