Simplify each expression. Use positive exponents.
m ^3 n ^–6 p ^0
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Nnesha (nnesha):
okay so there is p^0
anything on 0 power is just one
OpenStudy (studygurl14):
Some rules of exponents you will need:
\(\large x^{-m}=\frac{1}{x^m}\)
\(\large x^0=1\)
OpenStudy (anonymous):
alright
Nnesha (nnesha):
\[x ^{0} = 1\]
\[2^{0} = 1\]
so what is \[p ^{0} = ???\]
OpenStudy (anonymous):
Hint: \[x^{-n} \implies \frac{ 1 }{ x }\]
Any integer/ variable to the power of 0 = 1. For example: \[7^0 = 1~~~\text{and}~~~x^0 = 1\]
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Nnesha (nnesha):
and yes like batman said if you have negative power
you just have to flip it
OpenStudy (anonymous):
its hard for me to follow im not that good at math
Nnesha (nnesha):
what is p^0 = ????
OpenStudy (anonymous):
1
OpenStudy (studygurl14):
Correct.^
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OpenStudy (studygurl14):
Using that, you can simplify...
\(\large m^3n^{-6}p^0\)
into...
\(\large m^3n^{-6}\)
OpenStudy (studygurl14):
What next?
OpenStudy (anonymous):
do we do n^-6 next?
Nnesha (nnesha):
yes right now you have to flip that bec you cannot have negative exponent
\[x ^{-3} = \frac{ 1 }{ x ^{3} }\] for example
OpenStudy (anonymous):
how did you loose the negative?
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Nnesha (nnesha):
reciprocal x^-3 is same as |dw:1419274137473:dw|
so when you flip it sign gonna change if you havae negative ti change to postive
and if you positive it change to negative