Solving Negative Exponents: Key Concepts and Examples

This video tutorial by Mr. J explains how to solve negative exponents through six examples. It covers the concept of changing negative exponents to their reciprocals, keeping the base unchanged, and converting the exponent to positive. Each example demonstrates the step-by-step process of solving negative exponents, emphasizing the difference between positive and negative exponents and their effects on the base value.

What does a negative exponent indicate?

• A negative result

• An increase in value

• A positive result

• A reciprocal of the base raised to the positive exponent

What is the reciprocal of 10 to the power of negative 2?

• 1/10^-2

• 10^2

• 1/10^2

• 10^-2

What is the value of 10 to the power of negative 2?

• 100

• 1/100

• 10

• 1/10

How does 3 to the power of negative 2 compare to 3 to the power of positive 2?

• They are equal

• One is negative, the other is positive

• One is a fraction, the other is a whole number

• Both are fractions

What is the value of 3 to the power of negative 2?

• 9

• 1/9

• 3

• 1/3

What is the reciprocal of 4 to the power of negative 3?

• 4^3

• 1/4^3

• 4^-3

• 1/4^-3

What is the value of 2 to the power of negative 5?

• 1/32

• 1/2

• 32

• 2

What is the value of 5 to the power of negative 3?

• 1/125

• 125

• 5

• 1/5

What is the value of 12 to the power of negative 2?

• 144

• 1/144

• 12

• 1/12

What are the steps to solve a negative exponent?

• Change to reciprocal, keep the base, make exponent positive

• Change to reciprocal, change the base, make exponent negative

• Keep the base, make exponent negative, change to reciprocal

• Change the base, make exponent positive, keep the reciprocal