Learn how to solve an exponential equation when the base is a fraction

The video tutorial revisits previously covered concepts and introduces new ones, focusing on isolating exponents in equations. It explains the use of the one-to-one property and techniques for handling fractions and exponents. The tutorial guides students through rewriting expressions and solving equations, emphasizing the importance of understanding the rules of exponents.

What is the first step in solving an equation with an exponent?

• Use the reciprocal of the exponent

• Multiply both sides by the exponent

• Isolate the exponent

• Add fractions to both sides

How can you eliminate a fraction in an exponent?

• By multiplying the fraction by its reciprocal

• By using a negative exponent

• By adding the fraction to both sides

• By dividing the fraction by its base

What is the rule for rewriting a negative exponent in the denominator?

• Subtract it from the numerator

• Add it to the numerator

• Multiply it by zero

• Rewrite it as a positive exponent in the numerator

How can you rewrite the number 9 to have a base of 3?

• 3^0

• 3^3

• 3^2

• 3^1

What is the final step in solving the equation 3^(-2X) = 3^2?

• Multiply both sides by 2

• Add 2 to both sides

• Subtract 2 from both sides

• Divide by -2