Exploring the Laws of Exponents

The video tutorial covers the laws of exponents, focusing on the product law, quotient law, power of a power rule, and power of a product rule. Each law is explained with examples to help grade 7 students understand how to apply these rules in mathematical expressions. The teacher emphasizes the importance of correctly adding, subtracting, and multiplying exponents based on the specific law being applied.

What happens when you multiply two exponents with the same base?

• Multiply the exponents

• Add the exponents

• Subtract the exponents

• Divide the exponents

What does the product law of exponents state when multiplying two terms with the same base?

• The bases are added

• The exponents are added

• The exponents are multiplied

• The bases are multiplied

How do you simplify an expression with exponents when dividing two terms with the same base?

• Subtract the exponents of the numerator from the denominator

• Multiply the exponents

• Subtract the exponents of the denominator from the numerator

• Add the exponents

What is the result of a to the fourth power divided by a to the ninth power using the quotient law?

• a raised to the fifth power

• 1 over a raised to the fifth power

• a raised to the thirteenth power

• 1 over a raised to the thirteenth power

When simplifying expressions using the quotient law, if the exponent in the numerator is smaller, the result is:

• A positive exponent

• A negative exponent

• A fraction

• An integer

In the power of a power rule, what do you do with the exponents?

• Add them

• Multiply them

• Divide them

• Subtract them

What is the simplified form of (a^2)^4 according to the power of a power rule?

• a^16

• 2a^8

• a^6

• a^8

What is the result of (5c^2/d^3)^2 according to the power of a power rule?

• 10c^4/d^6

• 10c^2/d^3

• 25c^4/d^6

• 25c^2/d^6

How do you apply the power of a product rule to 3x^2y^3?

• Multiply each exponent by 3

• Divide each exponent by 3

• Add 3 to each exponent

• Subtract 3 from each exponent

What is the simplified form of 4m^3 raised to the second power?

• 8m^9

• 16m^9

• 16m^6

• 8m^6