Exponential Equations and Base Conversion Quiz

What is the first step in solving an exponential equation?

• Divide the exponents by two

• Convert all numbers to base ten

• Ensure the bases on both sides are the same

• Add the exponents together

What is 81 expressed as a power of three?

• 3^2

• 3^3

• 3^4

• 3^5

How can 729 be expressed as a power of three?

• 3^6

• 3^7

• 3^8

• 3^5

What does the rational exponent rule allow you to do?

• Add exponents with different bases

• Divide exponents by their base

• Convert roots into fractional exponents

• Multiply exponents directly

How is the fifth root of 3^6 expressed using the rational exponent rule?

• 3^(6/1)

• 3^(1/5)

• 3^(5/6)

• 3^(6/5)

What is the multiplication law for exponents?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

When combining two exponents with the same base, what operation is performed on the exponents?

• They are divided

• They are subtracted

• They are added

• They are multiplied

What must be true for the equality of two exponential expressions with the same base?

• The bases must be different

• The exponents must be equal

• The bases must be multiplied

• The exponents must be added

What is the common denominator used to solve the equation in the video?

• 20

• 15

• 25

• 10

What is the final value of x in the equation solved in the video?

• 26

• 24

• 22

• 20