Simplify a rational expression by applying the rules of exponents

The video tutorial demonstrates how to simplify expressions using the rules of exponents. It covers the application of the power to product rule, handling negative exponents, and converting them to positive exponents. The tutorial concludes with a complete simplification of the expression, providing a clear understanding of the process.

What is the power to product rule in exponents?

• a * b raised to x is equal to a^x / b^x

• a * b raised to x is equal to a^x + b^x

• a * b raised to x is equal to a^x * b^x

• a * b raised to x is equal to a^x - b^x

How can a negative exponent be converted to a positive exponent?

• By adding 1 to the exponent

• By moving the base to the opposite side of the fraction

• By multiplying the base by itself

• By subtracting 1 from the exponent

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

• The exponent is doubled

• The base is squared

• The exponent becomes positive

• The base becomes zero

What is the result of cubing the number 3?

• 27

• 18

• 36

• 9

What is the final simplified form of the expression 2 * 3^3 * d^3?

• 18d^3

• 54d^3

• 81d^3

• 27d^3