Creating same base with negative exponents to solve an equation

The video tutorial explains how to solve an equation involving exponents by ensuring the bases are the same. It covers rewriting fractions as whole numbers with negative exponents, applying the power of a power rule, and solving the equation by equating exponents. The tutorial emphasizes the importance of understanding exponent rules and provides a step-by-step solution to the problem.

Why is it important to have the same base when solving equations with exponents?

• To avoid using fractions

• To make calculations easier

• To ensure the exponents are equal

• To simplify the equation

How can you rewrite the fraction 1/9 using exponents?

• 9 to the power of 1

• 9 to the power of 0

• 9 to the power of -1

• 9 to the power of 2

What is the result of applying the power of a power rule to (3^2)^(-1)?

• 3^(-2)

• 3^2

• 3^0

• 3^1

What is the first step in solving the equation after rewriting the bases to be the same?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Equate the exponents

What property is applied to solve for X in the equation 6X - 2 = -2(X + 1)?

• Identity property

• Distributive property

• Associative property

• Commutative property