Follow the rules of PEMDAS to simplify an expression with multiple rules of exponents

The video tutorial guides students through simplifying mathematical expressions using the order of operations, focusing on simplifying within parentheses, applying the quotient rule, and handling negative exponents. The instructor demonstrates each step, emphasizing the importance of converting negative exponents to positive and distributing powers across quotients and products. The final expression is simplified to a positive exponent form.

What is the first step in simplifying an expression according to the order of operations?

• Simplify inside parentheses

• Apply exponents

• Distribute powers

• Simplify the denominator

When using the quotient rule, what operation is performed on the exponents?

• Subtraction

• Division

• Multiplication

• Addition

How do you convert a negative exponent to a positive one?

• Change its position in the fraction

• Multiply the base by itself

• Subtract 1 from the exponent

• Add 1 to the exponent

What is the result of distributing a power across a quotient?

• The power is applied to both the numerator and denominator

• The power is subtracted from the denominator

• The power is added to the numerator

• The power is only applied to the denominator

What is the final simplified form of the expression given in the tutorial?

• X^3 Y^5 times 6

• 6 divided by X^3 Y^5

• X^3 Y^5 divided by 6

• 6 X^3 Y^5