Question

Evaluate the expression
(81)^(-1/4)​

Answer 1

Step-by-step explanation:

1/3 is the answer?????

Answer 2

Answer:

$\large\boxed{\frac{1}{3}=0.33333 }$

Step-by-step explanation:

To evaluate this expression, first you have to solve by the expression. You can also used order of operations stands for (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) the numbers from left to right.

Given:

$\large\boxed{\textnormal{Exponent Rule}}$

$\displaystyle b^-^c=\frac{1}{b^c}$

$\displaystyle= \frac{1}{81^\frac{1}{4} }$

First, factor the number.

$\displaystyle 3^4=3*3*3*3=81$

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

$\large\boxed{\textnormal{Exponent Rule}}$

$(a^b)^c=a^b^c$

Solution:

$\displaystyle (\frac{3}{4})^\frac{1}{4}=3^4^*^\frac{1}{4}=\boxed{3}$

$=\large\boxed{\frac{1}{3} }$

In conclusion, the correct answer is 1/3=0.33333.