TSI Math: Simplifying Fractions with a Ton of Exponents
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Simplify the following expression.
Intermediate Algebra and Functions | Rational and Exponential Expressions, Equations, and Functions |
Mathematics and Statistics Assessment | Rational and Exponential Expressions, Equations, and Functions |
Product Type | TSI |
TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |
TSI Math | Intermediate Algebra and Functions |
TSI Mathematics | Intermediate Algebra and Functions |
Test Prep | TSI |
Transcript
power or experiment number there Yeah well the extra exponents
are knocked out by the power to a power rule
right When exponential expressions are raised to a power we
can multiply the exponents together That'll help us a whole
lot here All right so we're going to do some
multiple in here so well let's start with this one
So we've got x word y to the second power
which is the same as x squared times two and
then times y to the one times two thinking there
and then on the bottom here we got this thing
cubed that's going to be the same as x to
the three times three And why did the two times
three and let's just go do all the arithmetic here
So we got xs seventh wanted seventh over x to
the ninth one of the six and all this stuff
Okay bam How the expression is starting to shrink Hey
it's good Use that x ray vision to identify expressions
that cancel in the first term of six wise in
the denominator cancel with six of the seven wise in
the numerator leaving just one behind you is gonna look
like this Why right there why over x squared Is
it The seven x is in the numerator Cancel seven
of the nine x is in the denominator leading just
two exes They're cease oh that's way simpler Why over
x squared that's What All this stuff up here reduced
down teo Yeah so it's kind of good All right
so let's keep going Now the second fraction this one
is identical in the numerator and denominator so the entire
fractions just one that's it it's Why over x squared
plus one after all that work Yep Are super human
ability to use exponents rule to fight evil one simplified
expressions leaves us to truth justice and the shmoop way 00:01:52.663 --> [endTime] Yeah so why over x y plus one