Learn how to divide two exponents with rational powers

The video tutorial explains how to handle division of exponents, focusing on subtracting powers when bases are the same. It covers subtracting fractions with unlike denominators, finding common denominators, and simplifying expressions with negative powers. The tutorial also demonstrates rewriting expressions with positive powers and radicals, using prime factorization to simplify the square root of 8, and deriving the final answer.

What is the rule for dividing exponents with the same base?

• Subtract the exponents

• Divide the exponents

• Add the exponents

• Multiply the exponents

When subtracting fractions with different denominators, what is the first step?

• Add the numerators

• Subtract the denominators

• Multiply the fractions

• Find a common denominator

What is the result of subtracting 5/6 from 1/3?

• 1/6

• -1/2

• 1/2

• -1/6

How do you rewrite a negative exponent as a positive one?

• By subtracting 1 from the exponent

• By adding 1 to the exponent

• By placing the base in the denominator

• By multiplying the base by itself

What is the simplified form of the square root of 8?

• 4

• √4

• 2

• 2√2