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TheYankee
 one year ago
Higher roots with exponents?
TheYankee
 one year ago
Higher roots with exponents?

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1factor x^{16} remember exponent rules \[\huge\rm x^m \times x^n = x^{m+n}\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1so you can write x^5 times x^5 times x^5 times x which is equal to ??

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm x^5 \times x^5 \times x^5 \times x= x^?\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1when we multiply same bases we should add their exponents :) exponent rules \[\huge\rm x^m \times x^n = x^{m+n}\]

TheYankee
 one year ago
Best ResponseYou've already chosen the best response.1So, would it look like this?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm x^5 \times x^5 \times x^5 \times x= x^?\] you didn't answer my question :(

TheYankee
 one year ago
Best ResponseYou've already chosen the best response.1Wouldn't it be x^16? (I have such a problem with these >.< )

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1now factor them under the 5th root \[\huge\rm \sqrt[5]{x^5 \times x^5 \times x^5 \times x }\] just like square can cancelz out with square same idea here &that's why we have to make a pair of five exponent so we cancel them with 5th root solve that

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1you can convert root to exponent \[\huge\rm \sqrt[n]{x^m}= x^\frac{ m }{ n }\]

TheYankee
 one year ago
Best ResponseYou've already chosen the best response.1Oh! Alright! I didn't know that! (Please excuse my ineptitude... I'm a history person, lol....)

TheYankee
 one year ago
Best ResponseYou've already chosen the best response.1Huh! Would it be X^4, then?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1convert 5th root to exponent

TheYankee
 one year ago
Best ResponseYou've already chosen the best response.1When you convert to an exponent, Each 5th root would result in one, correct? Making it just X instead of x rasied to a power.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right but x is same as x to the one power x^1

TheYankee
 one year ago
Best ResponseYou've already chosen the best response.1True. So because each x factor would result in x^1, I'm thinking the end result would be X^4.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm \sqrt[5]{x^5 \times x^5 \times x^5 \times x }\] \[\huge\rm x^\frac{5 }{ 5 } \times x^\frac{ 5 }{ 5 } \times x^\frac{ 5 }{ 5 } \times x^\frac{ 1 }{ 5 }\] so it should be like this

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm \sqrt[5]{x^5 \times x^5 \times x^5 \times\color{reD}{ x} }\] red x doesn't have power so you cannot cancel 5th root. it should stay under the 5th rot \[\huge\rm x^\frac{5 }{ 5 } \times x^\frac{ 5 }{ 5 } \times x^\frac{ 5 }{ 5 } \times x^\frac{ 1 }{ 5 }\] so it should be like this

TheYankee
 one year ago
Best ResponseYou've already chosen the best response.1Omg! It makes sense now! Would it be x^3 5^(sqrt) x? (I'll model that answer in a second. Thanks for your patience ^^)

TheYankee
 one year ago
Best ResponseYou've already chosen the best response.1To confirm, like this?
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