Simplifying Exponential Expressions

The video tutorial covers homework problems 865 and 866, focusing on expanding expressions into factored and simplified exponent forms, handling negative exponents, and using reciprocals. It also explains simplifying expressions using exponent rules, distributing exponents across terms in parentheses, and dividing exponents while addressing negative results.

What is the first step in expanding an expression into factored form?

• Divide the expression by its greatest common factor

• Add all exponents

• Write each term as a product of its factors

• Multiply all terms together

How do you simplify the expression 2^4 * 2^2?

• 2^3

• 2^2

• 2^6

• 2^8

What is the result of 3^4 divided by 3^5?

• 3^9

• 3^1

• 1/3

• 3^0

How do you handle negative exponents in a fraction?

• Add the exponents

• Subtract the exponents

• Take the reciprocal of the base

• Multiply the exponents

What is the simplified form of y^7 / y^4?

• y^1

• y^3

• y^11

• y^0

In the expression x^3 * y^2 / y^1, what is the simplified form?

• x^3 * y^0

• x^2 * y^2

• x^2 * y^1

• x^3 * y^1

What is the result of simplifying 3^2 / 3^1?

• 3^1

• 3^3

• 3^0

• 3^2

How do you distribute an exponent across terms in parentheses?

• Divide the exponent by each term

• Apply the exponent to each term

• Multiply the exponent by each term

• Add the exponent to each term

What is the simplified form of (3^1 * x^1)^4?

• 3^1 * x^4

• 3^4 * x^1

• 3^5 * x^5

• 3^4 * x^4

How do you simplify 3^8 / 3^2?

• 3^2

• 3^4

• 3^10

• 3^6