Question

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

Answer 1

Answer:

(a) $a=\frac{3}{2}$

(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

$(a^{\frac{1}{4}}a^{\frac{1}{2}}a^{\frac{1}{4}})2=3$

(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 $a^{\frac{1}{4}+\frac{1}{2}+\frac{1}{4}}\times 2=3$

$2a=3$

$a=\frac{3}{2}$

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