Understanding Exponents and Fractions

The video tutorial explains how to simplify the fraction 3/5 raised to the power of 1. It begins by applying the exponent to both the numerator and the denominator, then discusses the use of negative exponent properties to convert them into positive exponents. The tutorial concludes by demonstrating that raising a fraction to the power of 1 results in its reciprocal, showing that 3/5 to the power of 1 equals 5/3.

What is the first step in simplifying a fraction raised to the power of 1?

• Apply the exponent to both the numerator and the denominator.

• Add the exponents of the numerator and denominator.

• Multiply the fraction by itself.

• Subtract the exponents of the numerator and denominator.

What happens to the exponent when a base is moved from the numerator to the denominator?

• The exponent doubles.

• The exponent's sign changes.

• The exponent becomes zero.

• The exponent remains the same.

How does moving a base from the denominator to the numerator affect the exponent?

• The exponent's sign changes.

• The exponent remains unchanged.

• The exponent is halved.

• The exponent becomes negative.

What is the result of raising a fraction to the power of 1?

• The fraction becomes its reciprocal.

• The fraction remains unchanged.

• The fraction becomes zero.

• The fraction doubles.

What is the reciprocal of 3/5 when raised to the power of 1?

• 15

• 5/3

• 1/3

• 3/5