Answer:^r√q^t can be rewritten using rational expressions as q^(t * r^(-1)).
Step-by-step explanation:
To rewrite ^r√q^t using rational expressions, we can express it as (q^t)^(1/r). This can be written as a fraction with the denominator being the reciprocal of the root, and the numerator being the power expression. So, it becomes:
(q^t)^(1/r) = (q^t)^(1/r) / 1
Now, let's express the denominator as a rational expression:
1/r = r^(-1)
So, our expression becomes:
(q^t)^(1/r) = (q^t)^(r^(-1))
This can also be expressed as:
(q^t)^(1/r) = q^(t * r^(-1))
Hence, the expression ^r√q^t can be rewritten using rational expressions as q^(t * r^(-1)).
