Simplifying Expressions with Exponents

The video tutorial covers the basics of exponents, focusing on zero and negative exponents. It begins with a 'Do Now' exercise to engage students, followed by a detailed explanation of zero and negative exponents using patterns and examples. The tutorial concludes with practice problems and an assignment to reinforce learning.

What is the result of simplifying the expression 3x^2 + 4x^2?

• 7x

• x^4

• 7x^2

• 12x^2

What is the value of any number raised to the power of zero?

• Undefined

• Zero

• One

• The number itself

If 4^3 = 64, what is 4^0?

• 16

• 64

• 4

• 1

What happens to a base with a negative exponent?

• It stays the same

• It becomes zero

• It moves to the denominator

• It becomes positive

How would you express 12^-3 as a fraction?

• 1/12^3

• 12^3

• 1/12

• 12/3

Simplify the expression: 8x^-3.

• 8x^3

• 1/8x^3

• 8/x^3

• x^3/8

What is the simplified form of 5^-3 * m^6?

• m^6 * 5^3

• 5^3/m^6

• m^6/5^3

• 5^-3/m^6

In the expression 7p^5/p^-1, what is the simplified form?

• p^6/7

• 7p^4

• 7p^6

• 7/p^6

What is the result of simplifying 10t^-5/t^-2?

• t^3/10

• 10/t^3

• 10t^7

• 10t^3

What is the simplified form of 6w^-2 * 4w^2?

• 24w^4

• 24

• 24w^2

• 24w^0