Solving the Equation: 216 = (1/36)x^(-1)
MC001-1.jpg, MC001-2.jpg, MC001-3.jpg
In this article, we will explore the solution to the equation 216 = (1/36)x^(-1). We will break down the equation step by step and find the value of x.
The Given Equation
The given equation is:
216 = (1/36)x^(-1)
Simplifying the Equation
To simplify the equation, we can start by rewriting the fraction on the right-hand side:
1/36 = 1/(6^2)
So, the equation becomes:
216 = (1/(6^2))x^(-1)
Raising Both Sides to the Power of -1
To get rid of the negative exponent, we can raise both sides of the equation to the power of -1:
(216)^(-1) = ((1/(6^2))x^(-1))^(-1)
Simplifying Further
Using the property of exponents that states a^(-n) = 1/a^n, we can simplify the equation further:
1/216 = 6^2/x
Cross-Multiplying
To solve for x, we can cross-multiply:
x = 6^2 * 216
Calculating the Value of x
Now, we can calculate the value of x:
x = 36 * 216 x = 7776
Conclusion
Therefore, the value of x is 7776. However, it's important to note that the images MC001-1.jpg, MC001-2.jpg, and MC001-3.jpg are not related to the solution of the equation.
No Solution
Despite finding the value of x, the original equation 216 = (1/36)x^(-1) has no meaningful solution in the context of the provided images. The equation is a mathematical exercise, and the images are not relevant to the solution.
