Learn how to simplify a monomial by applying quotient rule of exponents

The video tutorial explains how to simplify a mathematical expression involving fractions and exponents. It begins by breaking down the problem into two parts: simplifying the fraction 6/18 and applying the quotient rule to the exponents. The instructor demonstrates how to reduce the fraction to 1/3 and then uses the quotient rule to simplify the expression X^8 divided by X^3 to X^5. The final simplified expression is X^5 divided by 3.

What is the first step in simplifying the expression 6/18 * X^8 / X^3?

• Separate the expression into two parts

• Convert the fraction to a decimal

• Add the exponents

• Multiply the fractions

How can the fraction 6/18 be simplified?

• By subtracting 6 from both the numerator and denominator

• By multiplying both the numerator and denominator by 2

• By dividing both the numerator and denominator by 6

• By adding 6 to both the numerator and denominator

What is the simplified form of the fraction 6/18?

• 1/3

• 1/2

• 2/3

• 3/6

Which rule of exponents is used to simplify X^8 / X^3?

• Product rule

• Power rule

• Quotient rule

• Zero exponent rule

What is the final simplified expression of 6/18 * X^8 / X^3?

• X^3 / 3

• X^5 / 3

• X^5 / 6

• X^3 / 6