Question

Helpp ?

Answer 1

#1. Peter did not simplify his answer completely because he did not reach the conclusion of \[x ^{12}\] second part of the problem is that \[x^3 x^3 x^3 x^3 \neq x^3 + x^3 + x^3 + x^3\] so Peter's work would NOT be the same.

Answer 2

\[x^3 + x^3 + x^3 + x^3 = 4x^3\]

Answer 3

#2. use property of negative exponents in addition to fractional exponents.
#3. use quotient property since the base is the same.

Answer 4

#4.\[\sqrt[3]{x^3} = x ^{3*(1/3)}\] involves powers of a product \[x ^{1/3}x ^{1/3}x ^{1/3} = x ^{(1/3) + (1/3) + (1/3)} = x ^{3/3} = x\] involves product of powers \[1/x ^{-1} = x ^{1} = x\] involves negative exponents

Answer 5

Could you help me on showing my work for #2 and #3 ? I don't even know where to begin ..

Answer 6

\[\sqrt[n]{x}=\left( x \right)^{\frac{ 1 }{n }}\]

Answer 7

\[\frac{ 1 }{\sqrt[3]{x ^{-6}} }=\frac{ 1 }{\left( x ^{-6} \right)^{\frac{ 1 }{3 }} }=\frac{ 1 }{\left( x \right)^{-6*\frac{ 1 }{ 3 }} } =\frac{ 1 }{ x ^{-2 } } =x ^{2}\]
i think i have cleared everything,if any doubt ask me.

Answer 8

I'm starting to understand

Answer 9

Would number 3 be ??

Answer 10

\[\frac{ x ^{\frac{ 2 }{ 3 }} }{ x ^{\frac{ 4 }{9 }} }=x ^{\frac{ 2 }{3 }}*x ^{\frac{ -4 }{9 }}\]
\[=x ^{\left( \frac{ 2 }{ 3 }-\frac{ 4 }{9 } \right)}\]
take L.C.M and solve.

Answer 11

L C M ?

Answer 12

when bases are same powers are added during multiplication.

Answer 13

Ohh okay

Answer 14

Okay no I don't get it ..... None of this makes sense :( What's being added and what's being multiplied here ?

Answer 15

\[x ^{a}*x ^{b}=x ^{a+b}\]

Answer 16

for #3, when you have the same bases, and it is a division problem, the powers are subtracted. the power from the denominator is subtracted from the power in the numerator like so \[x ^{2/3}/x ^{4/9} = x ^{(2/3)-(4/9)}\]

Answer 17

\[\frac{ 2 }{3 }and \frac{ -4 }{ 9 } are added\]

Answer 18

I would be able to figure that out if I could find my freaking scientific calculator :'c

Answer 19

\[\frac{ 2 }{3 }and \frac{ -4 }{ 9 } are added\]

Answer 20

2/9 ?

Answer 21

\[yes x ^{\frac{ 2 }{ 9 }}\]

Answer 22

use this property when you see a problem like #3 \[x ^{m}/x ^{n} = x ^{m-n}\]

Answer 23

Okay

Answer 24

So is 2/9 the answer then ? :o

Answer 25

yep

Answer 26

Okay thank you so much

Answer 27

note that answer is not 2/9
it is as i have given above x ^2/9

Answer 28

Ohh okay well that makes more sense now . Thank YOU

Answer 29

yw