Exponential Equations and Functions

This video tutorial covers solving exponential equations, including examples and word problems involving exponential growth. It also explains how to work with monomials and perform operations on them. The tutorial provides a comprehensive review of these mathematical concepts, preparing students for upcoming tests.

What is the first step in solving an exponential equation where the variable is an exponent?

• Make both sides of the equation a power of the same base

• Multiply the exponents by zero

• Add the exponents together

• Convert all numbers to fractions

In the equation 5^x = 1/125, what should 125 be converted to?

• 5^0

• 5^1

• 5^2

• 5^3

When solving 17^x - 2 = 1/49^2x, what base should both sides be converted to?

• Base 10

• Base 2

• Base 7

• Base 5

What is the result of distributing the exponent in the expression (10^2)^(x+3)?

• 10^(x+3)

• 10^(x+6)

• 10^(2x+6)

• 10^(2x+3)

In the equation 4^x - 5 = 8^2x + 2, what common base can be used to solve it?

• Base 3

• Base 4

• Base 2

• Base 5

At what time will the number of bacteria in both yogurts be the same?

• 5:30 AM

• 5:12 AM

• 5:18 AM

• 5:00 AM

What is the base used for the fruit flies' growth in Leila's experiment?

• Base 2

• Base 4

• Base 8

• Base 16

What is a monomial?

• A sum of numbers and variables

• A product of numbers and variables

• A difference of numbers and variables

• A quotient of numbers and variables

How do you simplify the expression 4 * R^(-3) * R^2?

• 4R^(-1)

• 4R^5

• 4R^1

• 4R^0

What is the simplified form of 2^(-4) * X^2^4?

• 1/(16X^8)

• 16X^8

• 1/(2X^8)

• 2X^8