Question

If t³ = 27/64, what is the value of t?

A) t = 1/2
B) t = 2/3
C) t = 3/4
D) t = 1

Answer 1

If t³ = 27/64,C) t = 3/4

Step-by-step explanation:

To find the value of t when t³ = 27/64, we can take the cube root of both sides of the equation. The cube root of 27/64 is 3/4. Therefore, t is equal to 3/4, and the correct answer is C.

In mathematical terms, if t³ = 27/64, then t = (27/64)^(1/3). Simplifying the cube root, we get t = 3/4. It's important to recognize that the cube root of a fraction involves taking the cube root of both the numerator and the denominator.

In conclusion, the value of t is 3/4 when t³ = 27/64. This can be verified by cubing 3/4, which indeed equals 27/64. Therefore, option C (t = 3/4) is the correct answer.