Answer Key for Lesson 2 Exponential Notation with Step by Step Solutions
To simplify calculations involving powers, it’s important to first identify the base and the exponent. For example, in the expression 34, 3 is the base and 4 is the exponent. The result of this calculation is 81, as it represents 3 multiplied by itself four times.
Ensure that you correctly interpret expressions with negative exponents. A negative exponent indicates the reciprocal of the base raised to the positive version of the exponent. For example, 2-3 equals 1/23, which simplifies to 1/8.
Another key point is dealing with fractions raised to an exponent. When a fraction such as 1/2 is raised to a power, apply the exponent to both the numerator and denominator. For example, (1/2)3 equals 1/8.
By understanding these basic principles, you can solve a wide range of problems involving powers and exponents with confidence.