Simplifying Expressions with Exponents

The video tutorial explains how to simplify mathematical expressions using properties of exponents. It covers the power property, which involves multiplying exponents when powers are raised to powers, and the quotient property, which involves subtracting exponents when dividing like bases. The tutorial also addresses handling negative exponents and simplifying complex fractions, providing step-by-step examples to illustrate these concepts.

What is the first step in simplifying expressions with powers raised to powers?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

In the expression m^2 raised to the power of 3, what is the simplified form?

• m^5

• m^6

• m^9

• m^3

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

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents

What is the simplified form of m^6 / m^9?

• m^0

• m^15

• m^-3

• m^3

What is the first step in simplifying the expression 3x^-3 y / x^4 y^1?

• Divide the coefficients

• Clear the parentheses

• Add the exponents

• Multiply the exponents

How do you handle a negative exponent in the expression 3^-3?

• Subtract 1 from the exponent

• Add 1 to the exponent

• Convert it to a positive exponent

• Leave it as is

What is the simplified form of x^-3 / x^4?

• x^1

• x^-7

• x^7

• x^0

In the expression y^1 / y^1, what is the result?

• y^2

• y^-1

• y^0

• y^1

What is the final simplified form of the expression 3x^-3 y / x^4 y^1?

• y / 3x^4

• x^7 / y^2

• y^2 / 27x^7

• 3y^2 / x^7

What happens to the base of x when it has a negative exponent in the numerator?

• It becomes zero

• It becomes positive

• It moves to the denominator

• It stays in the numerator