Simplifying Exponents and Fractions

The video tutorial guides viewers through the process of simplifying a mathematical expression. It begins by simplifying the numerator, focusing on clearing parentheses and multiplying exponents. The tutorial then explains how to combine exponents with the same base by adding them. Next, it covers dividing by the denominator, which involves subtracting exponents. Finally, the video demonstrates how to express the result using only positive exponents, providing a clear and concise explanation of each step.

What is the first step in simplifying the given expression?

• Multiply the exponents in the denominator

• Clear the parentheses in the numerator

• Simplify the denominator

• Add the exponents in the numerator

When simplifying exponents, what should you do with common factors?

• Ignore them

• Add them

• Simplify them before multiplying

• Multiply them directly

How do you combine like terms in the numerator?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

What is the least common denominator when adding fractions with denominators 1 and 2?

• 4

• 3

• 1

• 2

What operation is performed when dividing terms with the same base?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

What is the least common multiple of 9 and 6?

• 36

• 24

• 18

• 12

How do you express a term with a negative exponent as a positive exponent?

• Add the exponent to the base

• Move the term to the denominator

• Divide by the base

• Multiply by the base

What is the simplified form of x raised to the power of negative nine-eighths?

• x raised to the power of negative nine-eighths

• 1 over x raised to the power of negative nine-eighths

• 1 over x raised to the power of nine-eighths

• x raised to the power of nine-eighths

What happens to the exponent when a term is moved across the fraction bar?

• It remains the same

• It changes sign

• It doubles

• It becomes zero

What is the final simplified form of the expression?

• y raised to the power of 47/18 divided by x raised to the power of 9/8

• x raised to the power of 9/8 divided by y raised to the power of 47/18

• x raised to the power of 47/18 divided by y raised to the power of 9/8

• y raised to the power of 9/8 divided by x raised to the power of 47/18