Exponential Equations and Operations

The video tutorial explains how to solve an exponential equation using properties of exponents. It begins by identifying a common base of 5 and simplifies the equation by adding and subtracting exponents. The tutorial demonstrates how to simplify both the product and quotient of exponents, leading to an equation where the exponents on both sides are equal. Finally, it solves for X by equating the exponents and performing basic algebraic operations.

What is the first step in solving an exponential equation with a common base?

• Divide the exponents

• Recognize the common base

• Add the exponents

• Multiply the exponents

When multiplying terms with the same base, what should you do with the exponents?

• Multiply them

• Subtract them

• Divide them

• Add them

What is the result of simplifying 5^(x-6) divided by 5^8?

• 5^(x-2)

• 5^(x+2)

• 5^(x+14)

• 5^(x-14)

What operation is used when dividing terms with the same base?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

If 5^(x-14) equals 5^12, what must be true about the exponents?

• They must be added

• They must be multiplied

• They must be equal

• They must be subtracted

What is the solution for x if x-14 equals 12?

• x = 26

• x = 14

• x = 2

• x = 12