Understanding Exponents and Equations

The video tutorial guides viewers through solving an equation by simplifying both the numerator and denominator using exponent rules. It explains how to add and subtract exponents when multiplying and dividing terms with the same base. The tutorial concludes by equating the simplified expressions and solving for x, resulting in x equaling 3/2.

What is the result of adding the exponents in the numerator when multiplying the same base?

• 2 to the power of x

• 2 to the power of 4x

• 2 to the power of 3x

• 2 to the power of 2x

How do you express 4 using a base of 2?

• 2 to the power of 2

• 2 to the power of 1

• 2 to the power of 3

• 2 to the power of 4

What is the simplified form of the expression 2 to the power of x plus 1?

• 2 to the power of x

• 2 times 2 to the x

• 2 to the power of x minus 1

• 2 to the power of 2x

What equation do you get when you equate the exponents of the same base?

• 3x equals 2

• 2x equals 3

• 2x minus 1 equals 2

• x plus 1 equals 2

What is the value of x after solving the equation?

• x equals 1

• x equals 2

• x equals 1/2

• x equals 3/2