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But power can also mean the result of using an exponent, so in the previous example "64" is also called the power. Another example: 2 4 = 2 × 2 × 2 × 2 = 16 We can say "2 to the power 4 is 16", or we can also say "the 4th power of 2 is 16"
- Power
Illustrated definition of Index (power): The index of a...
- Illustrated Mathematics Dictionary
Illustrated Mathematics Dictionary. Easy-to-understand...
- Power
Illustrated definition of Index (power): The index of a number says how many times to use the number in a multiplication. It is written as a small number...
- What Is Power?
- Law of Powers
- Power Rules
- Solved Example
Power is a combination of two terms, a base, and an exponent. In mathematics, it refers to how many times a number is multiplied by itself. The base is the digit that is multiplied by itself. Whereas the exponent is the total number of times, the base has to be multiplied. In simple words, power is expressed in exponential form. Furthermore, it den...
There are certain laws that help in simplifying expressions containing multiple power terms, or even a single term containing variable power. The laws are based on the arithmetic operations between the like and dislike bases and powers.
We have gone through the different laws for solving power problems, but there are certain rules related to these laws which we are going to discuss in this topic. As of the moment, there are seven power rules which help us in identifying different word problems related to powers.
Example 1
Simplify x4.y5.z8x−2.y2.z3
Solution
Using the division rule to solve this problem: = x4.y5.z8x−2.y2.z3 = x4-(-2).y5-2.z8-3 = x4+2.y3.z5 = x6.y3.z5 This is the simplified form of the equation.
Example 2
Simplify 2ab + 4b (b2– 2a).
List of all math symbols and their meanings including equality, inequality, parentheses, plus, minus, times, division, power, square root, percent and per mille.
May 2, 2024 · Understanding math terms is important because mathematics is often referred to as the language of science and the universe, and it's not just about numbers. It encapsulates a vast array of concepts, principles, and terminology—from the foundational basics of counting to the complexities of calculus and beyond.
- Anne Marie Helmenstine, Ph.D.
Illustrated Mathematics Dictionary. Easy-to-understand definitions, with illustrations and links to further reading. Browse the definitions using the letters below, or use Search above.
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3 2 means that 3 will be multiplied by itself 2 times: Dictionary Definition The Oxford English Dictionary defines a power as "a quantity obtained by multiplying a given quantity by itself one or more times, the number of times the given quantity appears as a factor of the resulting product being indicated as the exponent of that quantity."