Exponents
An exponent refers to the number of times a base number is multiplied by itself. It is written as a small number to the upper right of the base number. For example, in the expression 23, 2 is the base and 3 is the exponent. This means 2 is multiplied by itself 3 times: 2 x 2 x 2 = 8.
Rules of Exponents
- Product of Powers: When multiplying two powers with the same base, add the exponents. For example, 23 * 24 = 27.
- Quotient of Powers: When dividing two powers with the same base, subtract the exponents. For example, 56 / 53 = 53.
- Power of a Power: When raising a power to another exponent, multiply the exponents. For example, (34)2 = 38.
- Zero Exponent: Any non-zero number raised to the power of 0 is equal to 1. For example, 70 = 1.
- Negative Exponent: A negative exponent indicates the reciprocal of the base raised to the positive exponent. For example, 2-3 = 1 / 23 = 1/8.
Practice Problems
- Calculate the value of 43.
- Simplify the expression 25 * 23.
- Evaluate 104 / 102.
- Find the value of (62)3.
- Determine the value of 50.
- Convert 2-4 to a positive exponent.
By understanding the rules of exponents and practicing with various problems, you can improve your skills in working with exponential expressions.
[Exponent] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Eighth Grade. Three dimensional geometry/Measurement
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Three dimensional geometry/Measurement 
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Three dimensional geometry/Measurement Worksheet/Answer key
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Identify Solid Figures Worksheet/Answer key
Surface Area of Solid Figures Worksheet/Answer key
Surface Area and Volume Worksheet/Answer key
Volume of Solid Figures Worksheet/Answer key
Surface Area and Volume Worksheet/Answer key
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Volume of Solid Figures
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Geometry (NCTM)
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties.
Use visualization, spatial reasoning, and geometric modeling to solve problems.
Use geometric models to represent and explain numerical and algebraic relationships.
Measurement (NCTM)
Apply appropriate techniques, tools, and formulas to determine measurements.
Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.
Develop strategies to determine the surface area and volume of selected prisms, pyramids, and cylinders.