Mathematics
6 Online
OpenStudy (anonymous):
Simplify the expression (properties of rational exponents) 4/(3)^-2
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OpenStudy (anonymous):
is the ans is 28?
OpenStudy (anonymous):
no.
OpenStudy (anonymous):
or \[8\div3 ?\]
OpenStudy (anonymous):
the choices are 36x^2 or 24x^2
OpenStudy (lalaly):
your missing an x in ur question
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OpenStudy (anonymous):
Use the formula:
\[\frac{1}{b^{-a}} = b^a\]
OpenStudy (anonymous):
srry bout that, its where the 3 is.
OpenStudy (lalaly):
\[\frac{4}{(3x)^{-2}}\]is this it?
OpenStudy (anonymous):
So, the question is like this:
\[\frac{4}{(3x)^{-2}}\]
OpenStudy (anonymous):
yes.
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OpenStudy (lalaly):
\[\frac{1}{b^{-n}}=b^n\]soo\[\frac{4}{(3x)^{-2}}=4(3x)^2 =4 \times 9x^2 =36x^2\]
Parth (parthkohli):
\(\Rightarrow {4} \times \Large {1 \over (3x)^{-2}} \)
\(\Rightarrow 4 \times (3x)^2 \)
\(\Rightarrow 4 \times 9x^2\)
OpenStudy (anonymous):
thank u both, can you guys help me with another one?
Parth (parthkohli):
Ah sure.. close this one or post it right here
OpenStudy (anonymous):
1/5x times 1/5x
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OpenStudy (anonymous):
I thought the ans was 1/25 but it's not so idk
OpenStudy (anonymous):
is it just 1/5x?
OpenStudy (lalaly):
\[\frac{1}{5x} \times \frac{1}{5x}=\frac{1}{5x \times 5x}=\frac{1}{25x^2}\]
Parth (parthkohli):
Nah..
\(\Large {1 \over 5x} \times {1 \over 5x} = {1 \times 1 \over 5x \times 5x}\)
Parth (parthkohli):
@lalaly you win at typing -_-
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OpenStudy (lalaly):
lol parthy , next time i will let u do it
OpenStudy (anonymous):
so the ans would be 2/25?
OpenStudy (lalaly):
nno its 1/(25x^2)
OpenStudy (anonymous):
that's not one of my choices?
OpenStudy (anonymous):
I'll show u them
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OpenStudy (anonymous):
1/5x , 2/10x, or 2/5x
OpenStudy (anonymous):
So, I am thinking you have to add that two numbers and not to multiply them..
\[\frac{1}{5x} + \frac{1}{5x} = \frac{1 +1}{5x} = \frac{2}{5x}\]
OpenStudy (anonymous):
thanks :)
OpenStudy (anonymous):
Welcome dear..