In simplified exponential notation, the expression x ³ • x -4 • x = _____
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OpenStudy (michele_laino):
please we have
\[{x^3} \cdot x = {x^4}\]
OpenStudy (anonymous):
yes
OpenStudy (michele_laino):
so I can rewrite your expression as follows:
\[{x^4} - 4x\]
OpenStudy (anonymous):
x3.x-4.x=
OpenStudy (anonymous):
so is 0?
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OpenStudy (anonymous):
or 1/x ?
OpenStudy (michele_laino):
no, please it is:
\[{x^3} \cdot x - 4 \cdot x = {x^4} - 4x\]
OpenStudy (anonymous):
do not understand i only have 3 choices 1/x 0 1
OpenStudy (anonymous):
?
OpenStudy (michele_laino):
is your original expression this?
\[\left( {{x^3} \cdot x} \right) - \left( {4 \cdot x} \right)\]
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OpenStudy (anonymous):
1/x?
OpenStudy (michele_laino):
please I aks help to another tutor @Abhisar
OpenStudy (anonymous):
ty
OpenStudy (michele_laino):
@Nnesha
OpenStudy (anonymous):
x3.x-4.x=
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OpenStudy (abhisar):
\(\tt x^{-4}~can~be~written~as~\frac{1}{x^4}\)
OpenStudy (solomonzelman):
IS the initial problem, \(\large\color{slate}{ x^3\cdot x^{-4}\cdot x }\) ?
OpenStudy (solomonzelman):
\(\large\color{slate}{ x^3\cdot x^{-4}\cdot x =x^{3-4+1}=x^{?} }\)
OpenStudy (anonymous):
yes
OpenStudy (solomonzelman):
what is the exponent here?
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OpenStudy (solomonzelman):
what is your expoentn can you tell me?
OpenStudy (anonymous):
0
OpenStudy (solomonzelman):
and the prove for \(\large\color{slate}{ x^0 }\)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\(\large\color{slate}{ \displaystyle \color{red}{x^{0}}~~\Rightarrow ~~x^{a-a}~~\Rightarrow ~~\frac{x^a}{x^a}~~\Rightarrow ~~\color{red}{1} }\)
OpenStudy (solomonzelman):
so what is your final answer ?
OpenStudy (anonymous):
1/x
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OpenStudy (solomonzelman):
wait, you said the exponent is 0,
\(\large\color{slate}{ x^3\cdot x^{-4} \cdot x~~~\Longrightarrow~~~ x^3\cdot x^{-4} \cdot x^1~~~\Longrightarrow~~~ x^{3 +(-4)+1}~~~\Longrightarrow~~~ x^0. }\)
OpenStudy (solomonzelman):
And as I showed \(\large\color{slate}{ x^0 }\) is equivalent to what number ?
OpenStudy (anonymous):
This is so confusing :(
Nnesha (nnesha):
\[2^0 = 1\]
\[4^0 =1\]
\[b^0 = 1\]
when any number or variable have 0 exponent answer always going to be just 1
Nnesha (nnesha):
you said that x^0 right ???
that's what you got right ?? @Dyalis_love
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