Understanding Exponent Rules

The video tutorial explains how to simplify expressions using the zero exponent rule and the quotient rule of exponents. It begins with a review of these rules, emphasizing that any non-zero number raised to the power of zero equals one. The tutorial then provides four examples, demonstrating the application of these rules to simplify expressions like m^4/m^4, y^3/y^3, and more complex bases. Each example illustrates the process of subtracting exponents when dividing like bases and confirms the result using the zero exponent rule.

What does the zero exponent rule state?

• Zero raised to any power is zero.

• Any number raised to the power of zero is zero.

• Zero raised to any power is one.

• Any number raised to the power of zero is one.

According to the quotient rule of exponents, what should you do when dividing like bases?

• Divide the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Add the exponents.

In the first example, what is the result of m to the fourth divided by m to the fourth?

• m to the power of zero

• m to the power of four

• m to the power of eight

• m to the power of two

What is the simplified result of y to the third divided by y to the third?

• y to the power of zero

• y to the power of three

• y to the power of six

• y to the power of one

In the second example, what is the final result of negative two times y to the zero?

• One

• Negative two

• Zero

• Two

What is the product rule of exponents?

• Divide the exponents when multiplying like bases.

• Multiply the exponents when multiplying like bases.

• Subtract the exponents when multiplying like bases.

• Add the exponents when multiplying like bases.

In the third example, what is the result of b squared c to the third raised to the fifth divided by itself?

• b squared c to the third raised to the power of zero

• b squared c to the third

• b squared c to the third raised to the power of five

• b squared c to the third raised to the power of ten

In the fourth example, what is the simplified result of six times xy squared raised to the zero power?

• One

• Zero

• Six

• xy squared

What happens to any non-zero value raised to the zero power?

• It becomes negative.

• It becomes zero.

• It remains unchanged.

• It becomes one.

In the fourth example, what is the result of xy squared raised to the fourth divided by itself?

• xy squared

• xy squared raised to the power of zero

• xy squared raised to the power of eight

• xy squared raised to the power of four