Exponent Rules and Simplification

In this video tutorial, the teacher presents a challenge problem involving exponents. The lesson covers the application of exponent rules, including distributing exponents in fractions and converting negative exponents to positive. The teacher demonstrates how to simplify expressions by rewriting factors and adding exponents with the same base. The final solution is calculated, and the steps are reviewed to ensure understanding.

What is the first step when dealing with an exponent applied to a fraction?

• Add the exponents together

• Distribute the exponent to both the numerator and the denominator

• Convert the fraction to a decimal

• Multiply the exponents

How do you convert a negative exponent to a positive one?

• Add 1 to the exponent

• Subtract the exponent from zero

• Multiply the base by itself

• Move the term to the opposite side of the fraction

What is the equivalent of 4 in terms of base 2?

• 2 to the power of 1

• 2 to the power of 2

• 2 to the power of 3

• 2 to the power of 4

When simplifying 2 to the power of 70 times 4 to the power of 14, what is the first step?

• Divide the exponents

• Multiply the bases

• Convert 4 to a power of 2

• Add the exponents directly

What is the result of combining 2 to the power of 70 and 2 to the power of 28?

• 2 to the power of 98

• 2 to the power of 98 times 2

• 2 to the power of 70 plus 28

• 2 to the power of 70 times 28

What is the final simplified form of the expression given in the lesson?

• 2 to the power of 98

• 1 over 2 to the power of 98

• 2 to the power of 70

• 1 over 2 to the power of 70