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)?

Respuesta :

Answer:

(a) [tex]a=\frac{3}{2}[/tex]

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

Step-by-step explanation:

We have given expression

[tex](a^{\frac{1}{4}}a^{\frac{1}{2}}a^{\frac{1}{4}})2=3[/tex]

(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 [tex]a^{\frac{1}{4}+\frac{1}{2}+\frac{1}{4}}\times 2=3[/tex]

[tex]2a=3[/tex]

[tex]a=\frac{3}{2}[/tex]

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