Exponent Rules and Fraction Simplification

The video tutorial explains how to simplify a complex fraction with exponents on both the numerator and denominator, and then raise the entire expression to a fourth power. The process involves simplifying the fraction by canceling common factors, dividing exponents, and applying power rules to reach the final answer.

What is the first step when dealing with a fraction that has exponents on both the numerator and the denominator?

• Ignore the exponents and focus on the numbers.

• Add the exponents together.

• Simplify the fraction by canceling common factors.

• Multiply the exponents directly.

What is the first step in simplifying a fraction with exponents?

• Cancel common factors in the numbers.

• Multiply the exponents.

• Add the exponents.

• Ignore the exponents.

When simplifying the fraction 3/6, what is the result?

• 2/3

• 1/2

• 3/1

• 1/3

How do you simplify n^7/n^5?

• n^12

• n^7

• n^2

• n^5

After simplifying the fraction, what is the next step before applying the power?

• Add the exponents.

• Divide the exponents.

• Multiply the exponents.

• Rewrite the fraction in its simplest form.

Why is it important to simplify the fraction before applying the power?

• To avoid having to multiply large numbers.

• To make the final calculation easier.

• To increase the complexity of the problem.

• To ensure the exponents are added correctly.

What is the result of simplifying the expression M^4 N^7 / 2N^5?

• M^4 N^12 / 2

• M^4 N^2 / 2

• M^4 N^7 / 2

• M^4 N^5 / 2

What is the result of raising M^4 to the 4th power?

• M^16

• M^4

• M^12

• M^8

What is the result of raising N^2 to the 4th power?

• N^2

• N^4

• N^8

• N^6

What is the purpose of applying the power to each part of the fraction separately?

• To make the fraction more complex.

• To ensure each part is raised correctly.

• To simplify the calculation.

• To avoid errors in multiplication.