Exponent Laws Explained

The video tutorial covers the fundamental laws of exponents, including multiplication, division, and the power of a power rule. It explains how to handle exponents with the same base by adding or subtracting them, and how to multiply exponents when raising a power to another power. The tutorial provides examples to illustrate each rule and concludes with complex problems that integrate all the discussed concepts.

What is the result of multiplying exponents with the same base?

• You divide the exponents.

• You multiply the exponents.

• You add the exponents.

• You subtract the exponents.

What is 2^3 * 2^2 equal to?

• 2^5

• 2^6

• 2^4

• 2^1

What is the simplified form of 3^5 * 3^7?

• 3^12

• 3^10

• 3^2

• 3^35

What is the simplified form of 4^4 * 4^-2?

• 4^8

• 4^1

• 4^2

• 4^6

How do you handle exponents when dividing with the same base?

• You divide the exponents.

• You subtract the exponents.

• You multiply the exponents.

• You add the exponents.

What is 7^9 / 7^5 equal to?

• 7^5

• 7^14

• 7^3

• 7^4

What is the result of x^5 / x^-2?

• x^-7

• x^2

• x^7

• x^3

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

• 2^5

• 2^6

• 2^8

• 2^9

What is the simplified form of (x^4)^-4?

• x^16

• x^-16

• x^-8

• x^8

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

• x^1 y^4 z^6

• x^2 y^2 z^3

• x^1 y^2 z^3

• x^2 y^4 z^6