Question

Suppose for some positive real number aa that (a^(1 /4) ⋅ a ^(1/ 2 )⋅ a ^(1/ 4) 2 = 3.

a.What is the value of a?
b.Which exponent properties did you use to find your answer to part (a)?

Answer 1

(a)
`a=(3)/(2)`

(b) We use the property of exponent that when there is multiplication of two function then there exponent are added

Explanation:

We have given expression

`(a^{(1)/(4)}a^{(1)/(2)}a^{(1)/(4)})2=3`

(a) We have to find the value of a

We know the property of exponent that when there is multiplication of two function then there is addition of exponent

So
`a^{(1)/(4)+(1)/(2)+(1)/(4)}* 2=3`

`2a=3`

`a=(3)/(2)`

(b) We use the property of exponent that when there is multiplication of two function then there exponent are added