Exponent Rules and Simplifications

The video tutorial explains how to divide exponents with different bases and exponents. It covers methods to rewrite numbers so that either the bases or the exponents match, allowing for simplification. The tutorial includes examples with different bases, negative exponents, and matching exponents, demonstrating the process of simplifying and dividing exponents step-by-step.

What is the first step in dividing exponents with different bases?

• Subtract the bases

• Multiply the bases

• Rewrite one of the numbers so the bases match

• Add the exponents

How can you rewrite the number 9 to match the base of 3?

• 9^3

• 9^2

• 3^3

• 3^2

What do you do when an exponent is raised to another exponent?

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

• Add the exponents

When dividing exponents with the same base, what operation is performed on the exponents?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

How can you rewrite 25 to match the base of 5?

• 5^2

• 25^3

• 5^3

• 25^2

What is the result of 5^6 divided by 5^3?

• 5^9

• 5^3

• 5^2

• 5^1

How can you rewrite 64 to match the base of 4?

• 4^3

• 4^2

• 64^2

• 64^3

What is the simplified form of 4^-10?

• 1/4^10

• 4^10

• 4^-10

• 1/4^-10

How can you rewrite 5^4 to match the exponent of 13^2?

• 5^4

• 5^2

• 5^2^2

• 5^2^3

What is the result of dividing 13 by 25 and raising it to the power of 2?

• 0.52

• 0.25

• 0.2704

• 0.13