Exponents and Linear Equations Review

The video tutorial covers simplifying expressions using properties of exponents, including multiplication and division of exponents. It also demonstrates solving linear equations step-by-step, emphasizing the importance of showing work and understanding the underlying mathematical principles.

What is the simplified form of 2 * 5 * x^(-3) * x^2?

• 10x^(-1)

• 10x^(-5)

• 10x^5

• 10x^3

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

• x^11

• x^2

• x^3

• x^5

What is the result of (3^3) * (x^4)^3?

• 27x^7

• 27x^12

• 9x^12

• 81x^12

Simplify the expression 2^4 * (x^3)^4 * (y^5)^4.

• 16x^7y^20

• 16x^12y^20

• 16x^12y^25

• 16x^12y^10

Combine and simplify: 2 * 3^3 * x^2 * x^12 * y^(-3) * y^6.

• 54x^14y^9

• 54x^12y^3

• 54x^14y^3

• 54x^14y^6

Simplify the expression 24 / 6 * x^4 * x^(-2).

• 4x^4

• 4x^2

• 4x^6

• 4x^3

Solve for x: x + 12 = 20.

• x = 20

• x = 12

• x = 8

• x = 32

Solve for x: 5x = 15.

• x = 5

• x = 2

• x = 4

• x = 3

Solve for x: 6x = 8.

• x = 4/3

• x = 8/6

• x = 2/3

• x = 3/4

Solve for x: 4x + 6 = 18.

• x = 3

• x = 5

• x = 2

• x = 4