Question
3. Solve for the unknown variable x. [2 marks each] a) x^5=-1024 b) x^(3)/(5)=27
Solution
4.7
(177 Votes)
Gloria
Master ยท Tutor for 5 years
Answer
### a)
### b)
Explanation
## Step 1: Isolate x in equation a)### To solve for
, we need to take the fifth root of both sides of the equation
. This will isolate
and give us its value.## Step 2: Calculate the fifth root### The fifth root of -1024 is -4, since
.## Step 3: Isolate x in equation b)### To isolate
in the equation
, we raise both sides of the equation to the power of
, the reciprocal of
. This gives us
.## Step 4: Simplify and calculate### Simplifying the left side gives us
. The right side can be rewritten as
, which is
.