Exponent Rules in Algebra 2

The video tutorial introduces Algebra 2 students to a new unit on radicals and exponents. It covers essential exponent rules, including multiplying and dividing exponents, power of a power, zero exponent, and negative exponents. The teacher provides examples and practice problems to reinforce these concepts, emphasizing the importance of expressing exponents in their simplest form with positive values.

What is the result of multiplying x to the power of a with x to the power of b?

• x to the power of a times b

• x to the power of a plus b

• x to the power of a minus b

• x to the power of a divided by b

If you divide x to the power of a by x to the power of b, what is the result?

• x to the power of a divided by b

• x to the power of a minus b

• x to the power of a times b

• x to the power of a plus b

What does x to the power of a raised to the power of b simplify to?

• x to the power of a minus b

• x to the power of a plus b

• x to the power of a divided by b

• x to the power of a times b

What is any number raised to the zero power equal to?

• 1

• Undefined

• 0

• The number itself

How do you simplify an expression with a negative exponent?

• Take the reciprocal of the base and change the sign of the exponent

• Divide the base by the exponent

• None of the above

• Multiply the base by the exponent

If x to the negative a is raised, how do you rewrite it?

• 1 over x to the power of a

• x to the power of a

• x to the power of negative a

• x to the power of 2a

What is the result of (x/y) to the negative a power?

• None of the above

• (y/x) to the 2a power

• (x/y) to the a power

• (y/x) to the a power

How do you handle a fraction raised to a negative exponent?

• Flip the fraction and change the sign of the exponent

• Multiply the numerator and denominator by the exponent

• Subtract the exponent from the numerator and denominator

• Add the exponents of numerator and denominator

What does raising a fraction to a positive power involve?

• Subtracting exponents from both numerator and denominator

• Raising both the numerator and denominator to that power

• Adding exponents to both numerator and denominator

• None of the above

What is the simplified form of 3 squared, y to the second squared, and 2 squared?

• 9, y to the fourth, 2

• 6, y to the fourth, 4

• 9, y to the fourth, 4

• 9, y squared, 4