write (1/81)^(1/4) in radical form
∜(1/81) = ∜(1/3^4) = 1/3
CAN SOMEONE PLEASE GIVE THE ANSWERS FOR LESSON 8 UNIT 2 ALGEBRA 1 A IM HAVING A PANIC ATTACK
144^1/4
To write the expression (1/81)^(1/4) in radical form, we first need to understand the properties of exponentiation.
The expression (1/81)^(1/4) represents the fourth root of 1/81. In other words, we need to find a number that, when raised to the power of 4, is equal to 1/81.
To solve this, we can rewrite 1/81 as a fraction with a perfect fourth power in the denominator. Let's rewrite 1/81 as (1/3^4).
Now, let's take the fourth root of both the numerator and the denominator:
(1/3^4)^(1/4) = (1^(1/4))/(3^(4/4))
Since any number raised to the power of 1/4 gives its fourth root, we can simplify further:
1^(1/4) = 1
(1/3^4)^(1/4) = 1/(3^(4/4))
As 4/4 is equal to 1, we get:
1/(3^1)
Finally, we simplify the expression:
1/3 = 1/3
Therefore, (1/81)^(1/4) in radical form is equal to 1/3.