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djaydeej88 Group TitleBest ResponseYou've already chosen the best response.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.
 11 months ago

djaydeej88 Group TitleBest ResponseYou've already chosen the best response.1
\[x^3 + x^3 + x^3 + x^3 = 4x^3\]
 11 months ago

djaydeej88 Group TitleBest ResponseYou've already chosen the best response.1
#2. use property of negative exponents in addition to fractional exponents. #3. use quotient property since the base is the same.
 11 months ago

djaydeej88 Group TitleBest ResponseYou've already chosen the best response.1
#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
 11 months ago

LaynaMae Group TitleBest ResponseYou've already chosen the best response.0
Could you help me on showing my work for #2 and #3 ? I don't even know where to begin ..
 11 months ago

surjithayer Group TitleBest ResponseYou've already chosen the best response.0
\[\sqrt[n]{x}=\left( x \right)^{\frac{ 1 }{n }}\]
 11 months ago

surjithayer Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{ 1 }{\sqrt[3]{x ^{6}} }=\frac{ 1 }{\left( x ^{6} \right)^{\frac{ 1 }{3 }} }=\frac{ 1 }{\left( x \right)^{6*\frac{ 1 }{ 3 }} } =\frac{ 1 }{ x ^{2 } } =x ^{2}\] i think i have cleared everything,if any doubt ask me.
 11 months ago

LaynaMae Group TitleBest ResponseYou've already chosen the best response.0
I'm starting to understand
 11 months ago

LaynaMae Group TitleBest ResponseYou've already chosen the best response.0
Would number 3 be dw:1378942627571:dw ??
 11 months ago

surjithayer Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{ x ^{\frac{ 2 }{ 3 }} }{ x ^{\frac{ 4 }{9 }} }=x ^{\frac{ 2 }{3 }}*x ^{\frac{ 4 }{9 }}\] \[=x ^{\left( \frac{ 2 }{ 3 }\frac{ 4 }{9 } \right)}\] take L.C.M and solve.
 11 months ago

surjithayer Group TitleBest ResponseYou've already chosen the best response.0
when bases are same powers are added during multiplication.
 11 months ago

LaynaMae Group TitleBest ResponseYou've already chosen the best response.0
Ohh okay
 11 months ago

LaynaMae Group TitleBest ResponseYou've already chosen the best response.0
Okay no I don't get it ..... None of this makes sense :( What's being added and what's being multiplied here ?
 11 months ago

surjithayer Group TitleBest ResponseYou've already chosen the best response.0
\[x ^{a}*x ^{b}=x ^{a+b}\]
 11 months ago

djaydeej88 Group TitleBest ResponseYou've already chosen the best response.1
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 \[x ^{2/3}/x ^{4/9} = x ^{(2/3)(4/9)}\]
 11 months ago

surjithayer Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{ 2 }{3 }and \frac{ 4 }{ 9 } are added\]
 11 months ago

LaynaMae Group TitleBest ResponseYou've already chosen the best response.0
I would be able to figure that out if I could find my freaking scientific calculator :'c
 11 months ago

surjithayer Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{ 2 }{3 }and \frac{ 4 }{ 9 } are added\]
 11 months ago

surjithayer Group TitleBest ResponseYou've already chosen the best response.0
\[yes x ^{\frac{ 2 }{ 9 }}\]
 11 months ago

djaydeej88 Group TitleBest ResponseYou've already chosen the best response.1
use this property when you see a problem like #3 \[x ^{m}/x ^{n} = x ^{mn}\]
 11 months ago

LaynaMae Group TitleBest ResponseYou've already chosen the best response.0
So is 2/9 the answer then ? :o
 11 months ago

LaynaMae Group TitleBest ResponseYou've already chosen the best response.0
Okay thank you so much
 11 months ago

surjithayer Group TitleBest ResponseYou've already chosen the best response.0
note that answer is not 2/9 it is as i have given above x ^2/9
 11 months ago

LaynaMae Group TitleBest ResponseYou've already chosen the best response.0
Ohh okay well that makes more sense now . Thank YOU
 11 months ago
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