Simplifying Expressions and Exponents

The video tutorial explains how to simplify a given expression by following the order of operations. It begins with simplifying inside parentheses, where X plus X equals 2X. The expression then becomes 2X times 2X times 2X. The tutorial continues by explaining how to multiply monomials, focusing on multiplying coefficients and variables. The expression is rewritten as two times two times two times X times X times X, resulting in three factors of two and three factors of X. Finally, the expression simplifies to 8X cubed.

What is the first step in simplifying an expression according to the order of operations?

• Add the exponents

• Divide the terms

• Multiply the coefficients

• Simplify inside the parentheses

When simplifying the expression 2x times 2x times 2x, what should you do with the coefficients?

• Divide them

• Multiply them

• Subtract them

• Add them

How many factors of 2 are there in the expression 2x times 2x times 2x?

• Two

• Three

• Four

• One

What is the final simplified form of the expression 2x times 2x times 2x?

• 6x^3

• 2x^3

• 4x^3

• 8x^3

In the expression 2x times 2x times 2x, how many factors of x are there?

• Three

• Two

• One

• Four