Simplifying Exponents and Laws

This video tutorial covers the laws of exponents, including the product, power, quotient, and negative exponent laws. Each law is explained with examples, and a mixed review is provided at the end to reinforce understanding. The video aims to help students grasp the concepts of exponents and apply them in various mathematical problems.

What is the result of multiplying x^2 by x^3 using the product law?

• x^9

• x^8

• x^6

• x^5

Tags

CCSS.8.EE.A.1

If you have (x^2)^3, what is the result according to the power law?

• x^6

• x^5

• x^9

• x^8

Tags

CCSS.8.EE.A.1

How do you simplify x^5 / x^2 using the quotient law?

• x^10

• x^3

• x^2

• x^7

What is the reciprocal of x^-3?

• 1/x^3

• x^3

• -x^3

• 1/-x^3

Tags

CCSS.8.EE.A.1

What is the simplified form of 2^-2?

• -1/4

• -4

• 4

• 1/4

Tags

CCSS.HSA.APR.A.1

In a mixed review, what is the result of (x^2 * y^3)^2?

• x^4 * y^6

• x^2 * y^5

• x^5 * y^6

• x^4 * y^5

How do you simplify (3x^2)^3?

• 9x^6

• 27x^5

• 9x^5

• 27x^6

Tags

CCSS.HSA.APR.A.1

What is the result of (x^3 * y^2) / (x^2 * y) using the quotient law?

• x * y

• x^2 * y^2

• x^3 * y

• x * y^2

Tags

CCSS.8.EE.A.1

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

• x^4 * y^6

• x^2 * y^3

• x^4 / y^6

• x^2 / y^3

Tags

CCSS.HSA.APR.A.1

How do you simplify (2x^-1)^3?

• 1/8x^3

• 8x^3

• 8/x

• 8/x^3

Tags

CCSS.HSA.APR.A.1