Evaluating Exponents and Operations

This lesson covers equivalent exponential expressions, focusing on solving equations with exponents and replacing variables with numbers. It reviews the order of operations using PEMDAS and provides several examples, including solving expressions with exponents, fractions, and mixed numbers. The lesson concludes with finding solutions to equations using a list of numbers.

What does the acronym PEMDAS help us remember?

• The order of operations in mathematics

• The properties of geometric shapes

• The types of numbers in algebra

• The steps in solving a quadratic equation

In the order of operations, which operation should be performed first?

• Addition

• Multiplication

• Parentheses

• Exponents

When replacing a variable with a number, why is it important to use parentheses?

• To indicate division

• To avoid using fractions

• To show multiplication clearly

• To simplify the expression

What is the result of evaluating 3x^2 when x equals 10?

• 10

• 30

• 300

• 100

How do you simplify the expression 4^3 / 4?

• 4

• 16

• 64

• 1

What is the simplified form of 3 times 1/9 squared?

• 3/9

• 1/81

• 3/81

• 1/27

What is the value of x if 2^x equals 64?

• 8

• 7

• 6

• 5

Which of the following is equivalent to 3 times 3^4?

• 3^7

• 3^8

• 3^5

• 3^6

What is the result of 4/5 squared?

• 16/25

• 8/25

• 4/25

• 16/5

If x equals 1/2, what is the result of 9 plus x to the fourth power?

• 9 1/4

• 9 1/8

• 9 1/2

• 9 1/16