Exponent Rules and Properties

This video tutorial covers the properties of integer exponents, including definitions and rules such as the product, quotient, and power rules. It explains how to handle negative exponents and zero exponents, providing examples to illustrate these concepts. The video also demonstrates how to simplify expressions using these rules, ensuring a comprehensive understanding of integer exponents.

What is the base in the expression a^n?

• a^n

• n

• a

• None of the above

What is the exponent in the expression a^n?

• n

• None of the above

• a^n

• a

What does the product rule for exponents state?

• Multiply the bases and exponents

• Add the bases and multiply the exponents

• Add the exponents if the bases are the same

• Multiply the bases and add the exponents

If you have a^m * a^n, what is the result according to the product rule?

• a^(m+n)

• a^(m-n)

• a^(m*n)

• a^(m/n)

What does the quotient rule for exponents state?

• Subtract the exponents if the bases are the same

• Divide the bases and add the exponents

• Divide the bases and subtract the exponents

• Multiply the bases and subtract the exponents

If you have a^m / a^n, what is the result according to the quotient rule?

• a^(m+n)

• a^(m*n)

• a^(m/n)

• a^(m-n)

What does the power of a power rule for exponents state?

• Multiply the exponents and keep the base the same

• Add the exponents and change the base

• Multiply the bases and exponents

• Divide the exponents and keep the base the same

If you have (a^m)^n, what is the result according to the power of a power rule?

• a^(m+n)

• a^(m-n)

• a^(m/n)

• a^(m*n)

What does the power of a product rule for exponents state?

• Multiply the powers and apply to the product

• Divide the powers and apply to the product

• Add the powers and apply to the product

• Apply the power to each base in the product

If you have (ab)^n, what is the result according to the power of a product rule?

• a^n * b^n

• a^(n*b)

• a^n + b^n

• a^(n/b)