Exponent Rules and Simplification

Miss Smith's math tutorial covers two key rules of exponents: the product rule and the power to power rule. The product rule involves multiplying like bases and adding their exponents, while the power to power rule involves raising a power to another power by multiplying the exponents. The video provides examples and clarifies common misconceptions, such as the importance of recognizing implied exponents of one. The tutorial aims to help students differentiate between these rules and apply them correctly in mathematical problems.

What does the product rule for exponents state?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

Tags

CCSS.8.EE.A.1

If you have x^2 * x^5, what is the result?

• x^10

• x^7

• x^3

• x^5

Tags

CCSS.HSA.APR.A.1

In the expression 2x^7 * 4x^6, what is the coefficient of the result?

• 12

• 8

• 10

• 6

Tags

CCSS.HSA.APR.A.1

What is the result of 2x^7 * 4x^6?

• 6x^12

• 8x^12

• 6x^13

• 8x^13

Tags

CCSS.6.EE.A.1

What is the understood exponent if none is written?

• 2

• 1

• 3

• 0

Tags

CCSS.HSA.APR.A.1

What is the result of x * x^7?

• x^9

• x^6

• x^7

• x^8

Tags

CCSS.8.EE.A.1

What operation is used in the power to power rule?

• Subtraction

• Multiplication

• Division

• Addition

Tags

CCSS.HSA.APR.A.1

What is the result of (x^2)^5?

• x^15

• x^7

• x^10

• x^25

Tags

CCSS.HSA.APR.A.1

In the expression (2x^6y^4)^3, what is the exponent of x in the result?

• 24

• 6

• 12

• 18

Tags

CCSS.6.EE.A.1

What is the simplified form of 2^3?

• 6

• 8

• 9

• 12

Tags

CCSS.6.EE.A.1