Exponential Functions and Operations

The video tutorial explains how to solve exponential equations by equalizing the bases. It demonstrates using common bases, applying the power of a power rule, and setting exponents equal to solve equations. Additionally, it introduces logarithms as an alternative method when bases cannot be equalized.

What is an exponential equation characterized by?

• A linear relationship

• A variable in the base

• A variable in the exponent

• A constant exponent

What is the first step in solving an exponential equation by making the bases the same?

• Divide the bases

• Add the exponents

• Subtract the exponents

• Rewrite the bases to be the same

Which number can be a common base for both 9 and 27?

• 2

• 3

• 5

• 7

How is 9 expressed as a power of 3?

• 3^1

• 3^2

• 3^3

• 3^4

What is the result of raising a power to another power?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents

What is the expression for 27 as a power of 3?

• 3^1

• 3^4

• 3^2

• 3^3

What is the reciprocal of 3^3?

• 1/27

• 1/9

• 1/3

• 1/81

How do you express 1/27 as a power of 3?

• 3^-2

• 3^-4

• 3^-1

• 3^-3

What operation is performed when distributing an exponent over a sum?

• Addition

• Subtraction

• Multiplication

• Division

What is the simplified form of 3^(2x+2)?

• 3^(2x) + 3^2

• 3^(2x) * 3^2

• 3^(2x-2)

• 3^(2x/2)