Understanding Negative Exponents

The video tutorial explains how to simplify expressions with negative exponents. It begins by applying the negative exponent to each component of a fraction, then demonstrates how to convert these negative exponents into positive ones by moving terms between the numerator and denominator. Finally, it calculates the result of the expression, showing the step-by-step process to arrive at the final simplified form.

What is the first step in simplifying 58 raised to the power of -2?

• Subtract the exponents of 5 and 8

• Add the exponents of 5 and 8

• Apply the exponent to both 5 and 8

• Multiply 5 and 8

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

• By adding 2 to the exponent

• By subtracting 2 from the exponent

• By moving the term to the opposite part of the fraction

• By multiplying the base by 2

What happens to the exponent of 5 when it is moved to the denominator?

• It becomes 2

• It becomes -2

• It remains the same

• It becomes 0

What is the result of 8 squared?

• 64

• 16

• 128

• 32

What is the final simplified result of 58 raised to the power of -2?

• 32/25

• 64/25

• 25/64

• 16/25