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Msky
 2 years ago
Best ResponseYou've already chosen the best response.1Well, you can simplify \[49^{\frac{ 3 }{ 2 }}\] to \[\left( 49^{\frac{ 1 }{ 2 }} \right)^{3}\] And\[49^{\frac{ 1 }{ 2 }}=\sqrt{49}=7\] so \[\left( 49^{\frac{ 1 }{ 2 }} \right)^{3}=\left( 7 \right)^{3}=\frac{ 1 }{ 7\times7\times7 }\] This means that\[ 49^{\frac{ 3 }{ 2 }}=\frac{ 1 }{ 7\times7\times7 }\] If anything about this seems to complicated, let me know. The bottom line is that you're splitting the exponent into a power of 1/2 and a power of 3.

Tombrokaw
 2 years ago
Best ResponseYou've already chosen the best response.0Yes I was able to get to the answer with help of another system actually but I thought it was too complicated and I was wondering if there was a much simpler way to do this?

Tombrokaw
 2 years ago
Best ResponseYou've already chosen the best response.0In 49^1/2 . the denominator tells you if its a cube root or a square root or a quad root ?

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0For fractional exponents, it's poweroverroot.

Tombrokaw
 2 years ago
Best ResponseYou've already chosen the best response.0Oh alright. Thank you. That clarifies it.
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