Solving Exponential Equations

The video tutorial explains how to solve a mathematical problem involving two equations: x to the 10th equals five, and x to the ninth divided by y equals 555. The instructor guides viewers through solving for x to the ninth by multiplying both sides of the second equation by y, simplifying to find x y, and then using substitution and simplification to determine one over x y by taking the reciprocal of both sides.

What is the initial problem statement involving x and y?

• x^10 = 10 and x^9/y = 555

• x^10 = 5 and x^9/y = 500

• x^10 = 10 and x^9/y = 500

• x^10 = 5 and x^9/y = 555

What operation is performed to isolate x^9 in the second equation?

• Subtract y from both sides

• Add y to both sides

• Divide both sides by y

• Multiply both sides by y

After isolating x^9, what expression do we get?

• x^9 = 555y

• x^9 = 5y

• x^9 = 5

• x^9 = 555

How is x^10 expressed in terms of x and x^9?

• x^10 = x + x^9

• x^10 = x - x^9

• x^10 = x / x^9

• x^10 = x * x^9

What is the value of xy after solving the equations?

• xy = 1111

• xy = 111

• xy = 1/1111

• xy = 1/111

What is the final value of 1/(xy)?

• 1/1111

• 1111

• 1/111

• 111