Simplifying Exponents and Fractions

The video tutorial guides viewers through the process of simplifying a mathematical expression involving exponents. It begins by simplifying the numerator, where powers are raised to powers, and explains how to multiply exponents. The tutorial then moves on to dividing the expression, focusing on subtracting exponents when the bases are the same. Finally, it addresses expressing the result using only positive exponents, providing a clear and concise explanation of exponent properties. The tutorial concludes with the simplified form of the expression.

What is the first step in simplifying the given expression?

• Add the exponents in the numerator

• Multiply the exponents in the numerator

• Divide the exponents in the numerator

• Subtract the exponents in the numerator

How do you simplify the exponent for x in the numerator?

• Add 6 and 8

• Multiply 6 by 1/8

• Divide 6 by 8

• Subtract 6 from 8

What is the simplified exponent for y in the numerator?

• 1/4

• 1/8

• 1/12

• 1/6

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

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

• Add the exponents

What is the result of subtracting 1/2 from 3/4 for the exponent of x?

• 1/2

• 1/6

• 1/4

• 1/8

What is the least common denominator when subtracting 1/4 from 1/12?

• 16

• 4

• 8

• 12

What is the simplified exponent for y after subtracting 1/4 from 1/12?

• -1/6

• 1/6

• -1/4

• 1/4

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

• Move the base to the denominator

• Subtract 1 from the exponent

• Add 1 to the exponent

• Multiply by -1

What is the final simplified expression for x?

• x^1/8

• x^1/2

• x^1/4

• x^1/6

What is the final simplified expression for y?

• y^1/2

• y^1/4

• y^1/6

• y^1/8