Exponent Rules and Simplification

This video tutorial covers the properties of exponents, including negative power, nth root, fractional exponents, product of powers, power of a product, quotient of powers, power of a quotient, and zero power. Each property is explained with examples, and the video concludes with practice problems to reinforce understanding.

What is the main focus of this video tutorial?

• Properties of exponents

• Properties of geometric shapes

• Properties of logarithms

• Properties of algebraic expressions

What happens to a term with a negative exponent?

• It is squared

• It is reciprocated

• It is doubled

• It becomes zero

How can x^(1/n) be expressed?

• As x divided by n

• As x multiplied by n

• As the nth root of x

• As x raised to the power of n

What is the correct way to express x^(p/r)?

• As x raised to the power of p times r

• As x divided by p times r

• As the pth root of x raised to the rth power

• As the rth root of x raised to the pth power

When multiplying like bases, what should you do with the exponents?

• Subtract them

• Multiply them

• Divide them

• Add them

How do you handle a power of a product?

• Add the exponents

• Distribute the power to each term

• Subtract the exponents

• Multiply the exponents

What is the rule for dividing like bases with exponents?

• Add the exponents

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

How is a power of a quotient handled?

• Multiply the exponents

• Add the exponents

• Distribute the power to both numerator and denominator

• Subtract the exponents

What is the value of any non-zero number raised to the power of zero?

• Zero

• One

• The number itself

• Infinity

In the example x^(15)^(3/13), what is the simplified form?

• x^(15/13)

• x^(45/13)

• x^(15*3/13)

• x^(3/13)