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chrisGA
 one year ago
Evaluate fourth root of 9 multiplied by square root of 9 over the fourth root of 9 to the power of 5.
chrisGA
 one year ago
Evaluate fourth root of 9 multiplied by square root of 9 over the fourth root of 9 to the power of 5.

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chrisGA
 one year ago
Best ResponseYou've already chosen the best response.09 to the power of negative 1 over 2 9 to the power of negative 1 over 4 9 92

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If I understand correctly, the question is to simplify\[\frac{ 9^{\frac{ 1 }{ 4 }} \times 9^{\frac{ 1 }{ 2 }} }{ \left( 9^{\frac{ 1 }{ 4 }} \right)^{5} }\]Is this correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK. When working with exponents, many times it is easier to express them as fractions rather than radicals. My statement is equivalent to yours. Do you understand the fractional exponents?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For example,\[\sqrt{x}=x ^{\frac{ 1 }{ 2 }}\]\[\sqrt[3]{x}=x ^{\frac{ 1 }{ 3 }}\]\[\sqrt[4]{x}=x ^{\frac{ 1 }{ 4 }}\]\[\sqrt[4]{x ^{5}}=\left( x ^{5} \right)^{\frac{ 1 }{ 4 }}=x ^{\frac{ 5 }{ 4 }}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, with the expression written with fractional exponents, simplify the numerator first. The rule when multiplying powers with the same base is to ADD the exponents. Then, divide the numerator by the denominator, The rule when dividing powers with the same base is that you SUBTRACT the exponents. This help?

chrisGA
 one year ago
Best ResponseYou've already chosen the best response.0it does a lil bit what would the answer be?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For example,\[\frac{ 3^{\frac{ 1 }{ 4 }}\times 3^{\frac{ 1 }{ 2 }} }{ 3^{\frac{ 7 }{ 4 }} }=\frac{ 3^{\frac{ 3 }{ 4 }} }{ 3^{\frac{ 7 }{ 4 }} }=3^\left( \frac{ 3 }{ 4 } \frac{ 7 }{ 4 }\right)=3^{\frac{ 4 }{ 4 }}=3^{1}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry for taking so long with the typing. I can't give you the answer, but I can check yours. What do you get?

chrisGA
 one year ago
Best ResponseYou've already chosen the best response.0it ok and i got B? is that correct

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Don't think so. Let's take it one step at a time. What do you get when you simplify just the numerator?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[9^{\frac{ 1 }{ 4 }}\times 9^{\frac{ 1 }{ 2 }} = 9^{\left( \frac{ 1 }{ 4 } +\frac{ 1 }{ 2 }\right)}=?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Don't think so. How about simplifying the numerator first, as above. What would you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hello? Do you still want my help?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right on! So the numerator simplifies to\[9^{\frac{ 3 }{ 4 }}\]Now simplify the denominator. It is a power raise to another exponent. The rule in this case is to MULTIPLY the exponents. So\[\left(9^{\frac{ 1 }{ 4 }} \right)^{5}=9^{?}\] What do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No. Keep the base (9) and multiply just the exponents together.\[\left( 9^{\frac{ 1 }{ 4 }} \right)^{5} = 9^{\left( \frac{ 1 }{ 4 } \times5\right)} = 9^{?}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In other words, what is 1/4 x 5 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Perfect. Now your problem has been simplified to \[\frac{ 9^{\frac{ 3 }{ 4 }} }{ 9^{\frac{ 5 }{ 4 }} }\]When dividing powers with the same base, the rule is to keep the base and SUBTRACT the exponents. Therefore\[\frac{ 9^{\frac{ 3 }{ 4 }} }{ 9^{\frac{ 5 }{ 4 }} } = 9^{\left( \frac{ 3 }{ 4 } \frac{ 5 }{ 4 }\right)} = 9^{?}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In other words, what is 3/4  5/4 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Terrific. That's your answer.\[9^{\frac{ 1 }{ 2 }}\] Lot of small step. And lots of rules for working with exponents. Well done!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You're welcome. A bit of practice, and you'll be a master.
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