Question

is anyone good with rational exponents??

Answer 1

yes

Answer 2

maybe

Answer 3

ahh can you help me with this equation: 3^1/3*9^1/3

Answer 4

probably

Answer 5

factor out the 1/3 because they are the same exponent so you have (3*9)^1/3 which is like the cube root of 27 which is 3

Answer 6

i think the answer is 3sq rt of 3?

Answer 7

i dont know tht

Answer 8

THANK YOU dancr_on_fire!! :)

Answer 9

no problem... i always find it easier to think of factional exponents like roots

Answer 10

(3.3.3)^1/3 = 3, good job dancr

Answer 11

how would i simplify 8^4/3

Answer 12

cube root of 8 is 2, 2^4 = 16

Answer 13

okay awesome!! what about...(8a^-6)^-2/3

Answer 14

with this you multiply your exponents first

Answer 15

multiply the exponents first:
\[(8a^{-6})^{-\frac{2}{3}}=8^{-\frac{2}{3}}a^4\]

Answer 16

satellite73 you are the best! are you good with finding LCM?

Answer 17

of polynomials

Answer 18

in english \[8^{-\frac{2}{3}}\] means the reciprocal of the cube root of 8 squared. the cube root of 8 is 2. 2 squared is 4. and the reciprocal of 4 is \[\frac{1}{4}\] so answer is \[\frac{a^4}{4}\]

Answer 19

example?

Answer 20

okay, 400x^2-4y^2, 20x^2+2^yx

Answer 21

do you really mean lcm? because these are sums and difference. ok factor each one.
\[400x^2-4y^2=4(100x^2-y^2)\]which is the difference of two squares.
\[=4(10x-y)(10x+y)\]

Answer 22

\[20x^2+2y^2=2x(10x+y)\]

Answer 23

so for your least common multiple you need all the factors you see, not repeated!

Answer 24

the factors are \[4\]
\[x\]
\[10x-y\]
\[10x+y\]

Answer 25

okayyy i see! that makes sense!

Answer 26

multiply together to get
\[4x(10x+y)(10x-y)\]
hope it is clear. same way to find lcm of two numbers.

Answer 27

can you help me with writing this next one in radical form? 6x^3/2

Answer 28

yes that makes way better sense now!

Answer 29

\[x^{\frac{m}{n}}=\sqrt[n]{x^m}\]

Answer 30

for a fractional exponent, numerator is the power, denominator is the root.

Answer 31

\[6x^{\frac{3}{2}}=6\sqrt{x^3}\]\]

Answer 32

check out the paper i sent should make it clear.

Answer 33

okay lemme check it out! thank you!

Answer 34

are you always online? cause you are the biggest help! hopefully you can help me again soon!

Answer 35

i am often here these days practicing my latex. if you want you can email me at satellite73.openstudy@gmail.com

Answer 36

perfect! i am trying to finish an online math class by tomorrow in order to be able to graduate...i have about 70% more to complete! so youre a big help!