Exponent Rules and Simplification

The video tutorial explains how to simplify a given mathematical expression by breaking down the process into manageable steps. It covers simplifying the numerator and denominator separately, using properties of exponents, and performing division. The tutorial concludes with expressing the final result using only positive exponents.

What is the first step in simplifying an expression with a fraction?

• Add the exponents in the numerator

• Combine the numerator and denominator

• Simplify the numerator and denominator separately

• Multiply the numerator by the denominator

How do you simplify an expression where everything inside the parentheses is raised to a power?

• Multiply the exponents

• Add the exponents

• Subtract the exponents

• Divide the exponents

What is the result of multiplying x raised to the power of -1/10 by x raised to the power of 1/5?

• x raised to the power of -1/5

• x raised to the power of 1/10

• x raised to the power of 1/5

• x raised to the power of 1/10

What is the least common denominator when adding -1/10 and 1/5?

• 20

• 15

• 5

• 10

When dividing terms with the same base, what operation is performed on the exponents?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents

What is the result of 7/2 minus 7/4?

• 7/4

• 0

• 7/2

• 14/4

What is the simplified form of x raised to the power of -3/2?

• 1 over x raised to the power of -3/2

• x raised to the power of -3/2

• 1 over x raised to the power of 3/2

• x raised to the power of 3/2

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

• Multiply by -1

• Add 1 to the exponent

• Move the base to the opposite side of the fraction

• Subtract 1 from the exponent

What is the simplified form of y raised to the power of 7/4 divided by x raised to the power of 3/2?

• x raised to the power of 3/2 over y raised to the power of 7/4

• y raised to the power of 3/2 over x raised to the power of 7/4

• y raised to the power of 7/4 over x raised to the power of 3/2

• x raised to the power of 7/4 over y raised to the power of 3/2

What property is used to simplify x raised to the power of -3/2?

• Negative exponent property

• Product property

• Quotient property

• Power to power property