If \(P=\left(\frac{Q(R-T)}{15}\right)^{\frac{1}{3}}\), make T the subject of the formula.
Question 1 Report
If \(P=\left(\frac{Q(R-T)}{15}\right)^{\frac{1}{3}}\), make T the subject of the formula.
Answer Details
To isolate T on one side of the equation, we need to undo each operation that has been performed on T. To do this, we have to work backwards through the equation.
Starting with the equation: P=(Q(R−T)15)13,
- We will first undo the exponent operation (13), by taking the 13th root of both sides:
P^(1/13) = (Q(R−T)15)^(1/13)
- Then, we will undo the multiplication operation (15), by dividing both sides by 15:
P^(1/13)/15 = (Q(R−T))^(1/13)
- Next, we will undo the parenthesis operation, by multiplying both sides by (R−T):
(P^(1/13)/15)(R−T) = Q
- Finally, we will undo the subtraction operation (R−T), by adding T to both sides:
T = R − (Q * 15 * (P^(1/13)))
So the final answer is: T=R−15P3Q
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