Adele Kumar explains how to solve an exponential equation by rewriting it in product form, simplifying terms, and verifying the solution through substitution. The process involves expressing the equation in a way that allows for simplification and checking the solution to ensure accuracy.

What is the initial exponential equation presented in the video?

• 6^(x+1) + 6^(x+2) = 7

• 6^x + 6^(x+1) = 7

• 6^(x+1) + 6^(x+2) = 7

• 6^(x+1) + 6^x = 7

What is the first step in rewriting the equation?

• Dividing both sides by 6

• Multiplying both sides by 6

• Factoring out the common term

• Adding the exponents

How is 6^(x+1) rewritten in the product form?

• 6^x * 6^2

• 6^(x+1) * 6

• 6^x * 6

• 6^(x+2) * 6

What is the common factor in the rewritten equation?

• 7

• 6^2

• 6^x

• 6

What is the result of simplifying 6 + 6^2?

• 36

• 7

• 42

• 48

What is the simplified form of 7/42?

• 6

• 1/6

• 1/7

• 1/42

What is 6 to the power of -1?

• 1/6

• 6

• 1/7

• 7

What is the value of x when the equation is solved?

• 2

• 0

• -1

• 1

What is the value of 6^0?

• 7

• 6

• 1

• 0

What is the value of 6^1?

• 1

• 6

• 0

• 7