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TSI Math: Simplifying Fractions with a Ton of Exponents 2 Views
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Description:
Simplify the following expression.
- Test Prep / TSI
- TSI / TSI Math
- TSI / TSI Mathematics
- Intermediate Algebra and Functions / Rational and Exponential Expressions, Equations, and Functions
- Intermediate Algebra and Functions / Rational and Exponential Expressions, Equations, and Functions
- TSI Mathematics / Intermediate Algebra and Functions
- Test Prep / TSI
- TSI Math / Intermediate Algebra and Functions
Transcript
- 00:01
Okay more simplifying for t s i'm ash jumpers Here
- 00:05
we go x to the seventh wider seventh Yeah this
- 00:07
whole thing's a miss Well to defeat this expression simplify
- 00:14
each part of the fraction the denominator The first fraction
- 00:17
the numerator of second are both bolstered by an extra
Full Transcript
- 00:20
power or experiment number there Yeah well the extra exponents
- 00:23
are knocked out by the power to a power rule
- 00:26
right When exponential expressions are raised to a power we
- 00:30
can multiply the exponents together That'll help us a whole
- 00:34
lot here All right so we're going to do some
- 00:36
multiple in here so well let's start with this one
- 00:39
So we've got x word y to the second power
- 00:41
which is the same as x squared times two and
- 00:44
then times y to the one times two thinking there
- 00:47
and then on the bottom here we got this thing
- 00:49
cubed that's going to be the same as x to
- 00:52
the three times three And why did the two times
- 00:54
three and let's just go do all the arithmetic here
- 00:57
So we got xs seventh wanted seventh over x to
- 00:59
the ninth one of the six and all this stuff
- 01:01
Okay bam How the expression is starting to shrink Hey
- 01:05
it's good Use that x ray vision to identify expressions
- 01:07
that cancel in the first term of six wise in
- 01:10
the denominator cancel with six of the seven wise in
- 01:13
the numerator leaving just one behind you is gonna look
- 01:16
like this Why right there why over x squared Is
- 01:19
it The seven x is in the numerator Cancel seven
- 01:22
of the nine x is in the denominator leading just
- 01:25
two exes They're cease oh that's way simpler Why over
- 01:28
x squared that's What All this stuff up here reduced
- 01:30
down teo Yeah so it's kind of good All right
- 01:33
so let's keep going Now the second fraction this one
- 01:35
is identical in the numerator and denominator so the entire
- 01:39
fractions just one that's it it's Why over x squared
- 01:42
plus one after all that work Yep Are super human
- 01:46
ability to use exponents rule to fight evil one simplified
- 01:49
expressions leaves us to truth justice and the shmoop way 00:01:52.663 --> [endTime] Yeah so why over x y plus one
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