(1/625t)^-1/4 how do i do this problem. the answer is 5t^1/4.
a^-x = 1/a^x
so we are talking about
(625 t)^(1/4)
(25 * 25 * t )^(1/4)
(5*5*5*5 *t)^(1/14)
5 * t^(1/4)
my teacher taught us to flip it like you told me to do but then 5^4=625. so wouldn't the answer just be 5t. How is the 1/4 still there?
you had four number fives in there,
but you did not have four letter ts
so the five is not to the 1/4
but the t still is
ohhh okay thanks Damon, you were a great help! Peace man!
if it had been
(5 t * 5 t * 5 t * 5 t)^(1/4) then that would have been 5 t
okay thanks A LOTT FOR ALL YOUR TIME AND HELP I REALLY REALLY APPRECIATE IT!
To simplify the expression (1/625t)^(-1/4), you can follow these steps:
Step 1: Start by simplifying the expression inside the parentheses.
The expression inside the parentheses is 1/625t.
Step 2: Take the reciprocal of the expression inside the parentheses.
Taking the reciprocal of 1/625t gives us 625t.
Step 3: Simplify the expression using the exponent -1/4.
The expression 625t raised to the power of -1/4 can be simplified as (625t)^(-1/4) = 1/(625t)^(1/4).
Step 4: Simplify the term (625t)^(1/4).
To evaluate (625t)^(1/4), raise both 625 and t to the power of 1/4.
(625)^(1/4) equals the fourth root of 625, which is 5, since 5^4 equals 625.
(t)^(1/4) remains the same since no simplification can be done on t.
Step 5: Combine the simplified terms.
(1/(625t)^(1/4)) = 1/(5t^(1/4))
Therefore, the simplified expression is 1/(5t^(1/4)), which is equivalent to 5t^(1/4).