Understanding Exponents and Solving Equations

The video tutorial explains how to solve an equation involving powers of two. It begins by rewriting the equation to have a common base, then equates the exponents to find the solution. The solution is verified by substituting back into the original equation, confirming the correctness of the result.

What is the first step in solving the given equation involving exponents?

• Add exponents directly

• Rewrite the left side using a common base

• Multiply both sides by 4

• Subtract 2 from both sides

How do you express four as a power of two?

• 2^5

• 2^2

• 2^4

• 2^3

What equation do you get after equating the exponents?

• x - 2 = 16

• x = 16

• x + 4 = 16

• x + 2 = 16

What is the value of x after solving the equation?

• 18

• 14

• 12

• 16

What should you do to verify the solution of the equation?

• Multiply both sides by 2

• Divide both sides by 4

• Check if both sides are equal after substituting x

• Add 2 to both sides