How do you solve an equation with exponents on both sides

The video tutorial explains the property of equality in equations, focusing on the importance of having the same base to equate exponents. It demonstrates how to rewrite numbers as powers of a common base, apply power rules, and use the distributive property to simplify expressions. Finally, it shows how to solve equations once the bases are equal, emphasizing step-by-step problem-solving techniques.

Why is it important for bases to be the same when comparing exponents?

• To eliminate the need for multiplication

• To avoid using the distributive property

• To make the equation look simpler

• To ensure the exponents can be directly compared

How can the number 125 be rewritten as a power of 5?

• 5^5

• 5^3

• 5^2

• 5^4

What rule is applied when multiplying a binomial by an exponent?

• Subtraction of exponents

• Multiplication of exponents

• Addition of exponents

• Division of exponents

Once the bases are the same, what can be concluded about the exponents?

• They are different

• They are equal

• They need to be added

• They need to be subtracted

What is a potential benefit of shortening the steps in solving exponent problems?

• It increases the chance of errors

• It requires more calculations

• It saves time and simplifies the process

• It makes the problem more complex