solve 125=(x^3)/ 1/3 ^-3
a. 7
b. 14
c. 15
d. 9
since 125 = 5^3,
1/3^-3 = 3^3
5^3 = x^3/(3^3)
5^3 = (x/3)^3
now take cube roots:
5 = x/3
x = 15
thankyou, thanks for showing work too. it helps me a lot too understand it.
To solve the equation 125 = (x^3) / (1/3) ^ -3, we will follow these steps:
Step 1: Simplify the expression on the right-hand side of the equation:
(1/3) ^ -3 = 1 / (1/3) ^ 3 = 1 / (1/27) = 27
Step 2: Rewrite the equation with the simplified expression:
125 = (x^3) / 27
Step 3: Multiply both sides of the equation by 27 to eliminate the fraction on the right-hand side:
125 * 27 = x^3
3375 = x^3
Step 4: Cube root both sides of the equation to solve for x:
∛3375 = ∛(x^3)
∛3375 = x
Step 5: Simplify the cube root of 3375:
∛3375 = ∛(15^3) = 15
Therefore, the value of x is 15.
So, the correct option is c. 15.