Radicals and Exponents Evaluate each expression: a) frac{sqrt{132}}{sqrt{3}} b) sqrt[3]{2}sqrt[3]{32} c) sqrt[4]{frac{1}{4}}sqrt[4]{frac{1}{64}}

Bevan Mcdonald 2021-01-08 Answered
Radicals and Exponents Evaluate each expression:
a) 1323
b) 3{2}3{32}
c) 4{14}4{164}
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

StrycharzT
Answered 2021-01-09 Author has 102 answers
a) Formula used:
Power of nth roots:
n{ab}=n{a}n{a}
Where n is any positive integer and a and b are bases.
Calculation:
The given exponential expression is 1323
Use the above-mentioned formula and calculate the value of 1323 as shown below.
1323=112233
=21133
=211
Thus, the value of exponential is 211
b) Calculation:
Use the above mentioned formula and simplify the given expression as shown below.
3{2}3{32}=3{2}3{22222}
=(26)13
=22
=4
Thus, the value of exponential expression is 4.
c) Calculation:
4{14}4{164}=4{14}4{1444}
=4{1(4)4}
=1(44)14
=14
The value of exponential is 14.
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-10-27 Author has 2262 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more