Solving Exponential Equations in Algebra 1

The video tutorial covers exponential equations, focusing on solving them by equating bases. It explains the process of solving when bases are the same and when they differ, including converting numbers to a common base. The tutorial highlights common exponents and bases, providing examples to illustrate the concepts. It also addresses solving equations involving fractions and negative exponents, emphasizing the importance of recognizing base numbers to simplify the process.

What defines an exponential equation?

• An equation with the variable in the exponent

• An equation with constants only

• An equation with the variable in the base

• An equation without any exponents

How do you solve an exponential equation when the bases are the same?

• Subtract the exponents

• Divide the bases

• Set the exponents equal to each other

• Multiply the bases

What should you do when the bases in the equation are different?

• Leave them as is

• None of the above

• Add the bases together

• Convert them to a common base

What is the result of 2 to the power of 3?

• 12

• 9

• 8

• 6

What is the first step in solving exponential equations with different bases?

• Convert bases to a common base

• Convert all bases to the number 10

• Multiply all bases together

• Identify the largest base

Which base is commonly squared in exponential equations?

• 4

• 2

• 5

• 3

What is 5 to the power of 3?

• 125

• 15

• 625

• 150

How do you handle an equation where one side has a base raised to the power of x+9?

• None of the above

• Divide by 9

• Distribute the exponent over the equation

• Subtract 9 from x

What does a negative exponent indicate in terms of fraction placement?

• The base is in the numerator

• The base is in the denominator

• The exponent is irrelevant

• The fraction is undefined

If you have 1 over 81 in an equation, how is it expressed with exponents?

• 4 to the negative 3

• 81 to the negative 1

• 3 to the negative 4

• 3 to the power of 4