TSI Math: Simplifying Fractions with a Ton of Exponents

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