Converting an equation to the same base to solve

The video tutorial explains the rule of equality for exponents, emphasizing that it only applies when the bases are the same. It demonstrates how to rewrite numbers like 4 and 8 using a common base of 2. The tutorial then covers the multiplication and distribution of exponents, leading to solving an equation using the distributive property. The solution process involves simplifying the equation to find the value of X.

Why is it important for bases to be the same when applying the properties of exponents?

• It simplifies the calculation.

• It ensures the exponents can be directly compared.

• It allows the bases to cancel out.

• It makes the equation more complex.

How can the number 8 be expressed as a power of 2?

• 2^2

• 2^3

• 2^4

• 2^5

What operation is necessary when raising an exponent to another exponent?

• Subtraction

• Addition

• Multiplication

• Division

What is the first step in solving the equation 2^(2*3X - 3) = 2^(3*4X - 4)?

• Divide the bases.

• Multiply the bases.

• Set the exponents equal to each other.

• Add the exponents together.

After distributing and simplifying, what is the value of X in the equation 6X - 6 = 12X - 12?

• 0

• 1

• 2

• 3