Learn how to use the equality property of exponents to solve with negative exponents

The video tutorial explains the importance of having equal bases in mathematical problems. It explores different ways to rewrite the base 16, such as using 4 squared or 2 to the 4th power. The tutorial then discusses how to choose the best base for solving equations and explains the concept of negative exponents. Finally, it demonstrates solving an equation using the chosen bases, emphasizing the elimination of terms and simplification.

What is one way to rewrite the number 16 using exponents?

• 2 to the 3rd power

• 4 squared

• 5 to the 2nd power

• 3 to the 2nd power

How can 1/2 be expressed as a power of 2?

• 2 to the 2nd power

• 2 to the -1 power

• 2 to the 0 power

• 2 to the 1st power

What happens to a number when it is raised to a negative exponent?

• It becomes a fraction

• It becomes zero

• It remains the same

• It becomes negative

In the equation 2^(-1) * X - 3 = 4 * 3X + 1, what is the first step to simplify it?

• Subtract 1 from both sides

• Multiply both sides by 2

• Divide both sides by 4

• Add 3 to both sides

What is the result of simplifying the expression -X + 3 = 12X + 4?

• X = 1

• X = 2

• X = -1

• X = 0