Exponent Rules and Operations

This video tutorial provides a comprehensive review of the laws of exponents, covering multiplication, raising to powers, handling negative exponents, and division. It includes examples to illustrate each concept, emphasizing the rules for combining exponents with like bases and converting negative exponents to positive ones. The tutorial aims to strengthen understanding of exponent properties and operations.

What is the result of multiplying two numbers with the same base, such as 2^5 * 2^7?

• 2^12

• 2^35

• 2^10

• 2^2

When multiplying like bases with a negative exponent, such as x^4 * x^-2, what is the result?

• x^6

• x^-2

• x^2

• x^-6

How do you simplify (a^2)^5?

• a^7

• a^5

• a^10

• a^25

What is the result of squaring the expression 5x^4?

• 5x^8

• 10x^8

• 25x^4

• 25x^8

What operation is performed on exponents when raising a power to another power?

• Addition

• Subtraction

• Division

• Multiplication

What is the result of (x^3)^2?

• x^1

• x^5

• x^6

• x^9

How do you express 6^-9 as a positive exponent?

• 6^-9

• 1/6^-9

• 6^9

• 1/6^9

What is the result of dividing 4^7 by 4^3?

• 4^3

• 4^21

• 4^4

• 4^10

How do you simplify x^-3 / x^2?

• x^1

• 1/x^5

• x^5

• x^-5

When dividing like bases, such as a^m / a^n, what operation is performed on the exponents?

• Division

• Multiplication

• Subtraction

• Addition