Simplifying Expressions and Exponents

The video tutorial explains how to simplify a given mathematical expression by focusing on the numerator and denominator separately. It covers the use of exponent properties, such as the product and quotient properties, to simplify expressions. The tutorial also demonstrates how to handle negative exponents by converting them into positive exponents, resulting in a fully simplified expression.

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

• Simplify the numerator and denominator separately

• Multiply the numerator and denominator

• Add the exponents in the numerator

• Subtract the exponents in the denominator

When multiplying terms with the same base, what should you do with the exponents?

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

• Add the exponents

What is the least common denominator of 7/8 and 1/4?

• 4

• 2

• 8

• 16

How do you simplify x^(3/8) divided by x^(9/8)?

• x^(6/8)

• x^(-3/4)

• x^(12/8)

• x^(-6/8)

What is the result of 1/3 minus 5/2 when expressed with a common denominator?

• 13/6

• -13/6

• 15/6

• -15/6

What property is used to convert negative exponents to positive exponents?

• Negative exponent property

• Zero exponent property

• Quotient property

• Product property

How do you express a^(-m) using positive exponents?

• 1/a^(-m)

• 1/a^m

• a^(-m)

• a^m

What happens to the exponent when you move a term with a negative exponent across the fraction bar?

• It becomes zero

• It remains the same

• It becomes negative

• It becomes positive

What is the simplified form of x^(-3/4) y^(-13/6)?

• x^(3/4) y^(13/6)

• 1/(x^(3/4) y^(13/6))

• x^(-3/4) y^(-13/6)

• 1/(x^(-3/4) y^(-13/6))

What is the final simplified expression of the given problem?

• x^(-3/4) y^(-13/6)

• 1/(x^(-3/4) y^(-13/6))

• 1/(x^(3/4) y^(13/6))

• x^(3/4) y^(13/6)