Exponent Rules and Simplification

The video tutorial explains how to handle monomials raised to a power, focusing on the rule of multiplying exponents. It demonstrates how to distribute exponents across terms in a monomial and provides examples to clarify these concepts. The tutorial also compares different scenarios involving exponents to highlight the differences in approach. The lesson concludes with a final example to reinforce the learning.

What does it mean to raise a monomial to a power?

• Adding the exponents

• Multiplying the base by itself

• Subtracting the exponents

• Distributing the exponent to each term

If you have a monomial a^m raised to the power of n, what is the resulting exponent?

• m + n

• m / n

• m - n

• m * n

What is the rule for distributing an exponent over a product of terms?

• Distribute the exponent to each term

• Add the exponents of each term

• Multiply the exponents of each term

• Divide the exponents of each term

How do you simplify (2x)^3?

• 2^3 * x^3

• 2 * x^3

• 2^3 * x

• 2 * x

What is the difference between raising a power to a power and multiplying powers with the same base?

• Multiplying powers involves dividing exponents

• Raising a power to a power involves multiplying exponents

• Multiplying powers involves subtracting exponents

• Raising a power to a power involves adding exponents

What is the result of (-4)^3?

• 64

• -64

• 16

• -16

How do you simplify 4k^2 raised to the power of 3?

• 4 * k^6

• 4^3 * k^6

• 4 * k^2

• 4^3 * k^2