Understanding Exponents and Equations

The video tutorial explains how to solve an equation involving powers of nine. It begins by simplifying the equation by dividing both sides by two. Then, it rewrites the numbers as powers of three, allowing the equation to be expressed in terms of exponents. Finally, it solves for x by equating the exponents and dividing both sides by two, resulting in x equaling three halves.

What is the result of adding nine to the power of x twice?

• Nine to the power of 2x

• Eighteen to the power of x

• Nine to the power of x

• Two times nine to the power of x

What operation is performed on both sides of the equation to simplify it?

• Subtraction of two

• Addition of two

• Division by two

• Multiplication by two

What is the value of 54 divided by two?

• 18

• 36

• 27

• 54

How can nine be expressed as a power of three?

• Three to the power of one

• Three to the power of four

• Three to the power of two

• Three to the power of three

What is the final value of x in the equation?

• One

• Two

• Three halves

• Three