Understanding Exponents and Absolute Values

The video tutorial explains how to solve an equation by rewriting 9 as 3 squared and simplifying the expression by adding exponents. It demonstrates that when the bases are the same, the exponents must be equal, leading to an equation involving the absolute value of x. By solving this equation, the tutorial shows that the absolute value of x equals 1, resulting in x being either positive or negative one.

What is the first step in solving the given equation?

• Divide by 3

• Subtract x from both sides

• Multiply both sides by 2

• Express 9 as 3 squared

Tags

CCSS.8.EE.A.1

Why can we add the exponents in the equation?

• Because the bases are different

• Because the bases are the same

• Because the equation is linear

• Because the exponents are equal

What equation do we get after equating the exponents?

• Absolute value of x = 2 + Absolute value of x

• Absolute value of x = 2 - Absolute value of x

• x = 0

• x = 2

What is the result after adding the absolute value of x to both sides?

• x = 1

• x = -1

• 2 * Absolute value of x = 2

• 2x = 2

Tags

CCSS.HSA-REI.B.4B

What are the possible values of x after solving the equation?

• x = 3

• x = 2

• x = 1 or -1

• x = 0

Tags

CCSS.HSA-REI.B.4B