Mathematics
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OpenStudy (anonymous):
Evaluate the following expression.
1/5^-2
is it 1/25?
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OpenStudy (anonymous):
@waterineyes
OpenStudy (anonymous):
Firstly what the question is:
\[\frac{1}{5^{-2}}\] ??
OpenStudy (anonymous):
yeah...
OpenStudy (anonymous):
See in this case we use the following concept:
\[\large \frac{1}{x^{-a}} = x^a\]
Can you do it now??
OpenStudy (anonymous):
so 1/25 is right. right??
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OpenStudy (anonymous):
No..
Look the formula clearly..
OpenStudy (anonymous):
25?
OpenStudy (anonymous):
Absolutely correct..
Well done..
OpenStudy (anonymous):
thank you.. can you help me with 6^-3 too? is it 216?
OpenStudy (anonymous):
or is it 1/216?
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OpenStudy (anonymous):
second one..
When you have negative powers just take the reciprocal..
OpenStudy (anonymous):
ok.. how about 153^0?? is it 1?
OpenStudy (anonymous):
Anything raised to the power is 1..
except \(0^0\) it is not defined..
OpenStudy (anonymous):
Yes it is 1...
OpenStudy (anonymous):
Anything raised to the power 0 is 1..
except \(0^0\) it is not defined..
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OpenStudy (anonymous):
how about (-6)^-2? sorry...
OpenStudy (anonymous):
36?
OpenStudy (anonymous):
it can be written as: \(1/(-6)^2\)
OpenStudy (anonymous):
so is it -1/36?
OpenStudy (anonymous):
NO..
1/36
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OpenStudy (anonymous):
sorry.. real last question!! Evaluate m0 - n2 for m = 2 and n = -1.
so its 2^0-(-n)^2.. i dont get this
OpenStudy (anonymous):
\(2^0 - (-1)^2 \implies 1- (-1)^2 \implies 1- (1) \implies 0\)
OpenStudy (anonymous):
huh? so its 0?
OpenStudy (anonymous):
Yes..
OpenStudy (anonymous):
alright thank you so much~!!!!!!!!!!!11
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OpenStudy (anonymous):
Welcome dear..