How to calculate the power of a number | Basics of Mathematics
Math & Physics・1 minute read
Power is defined as a number multiplied by itself a certain number of times, such as 2^3 = 8 or (-3)^4 = 81. It is essential to understand the concept of power and how it is calculated in various numerical examples, including fractions.
Insights
- Power is defined as multiplying a number by itself a certain number of times, denoted as a^n.
- Negative numbers raised to an even power result in a positive value, showcasing the concept of power's impact on mathematical operations.
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Recent questions
What is the definition of power?
Power is represented as a number raised to another number, indicating repeated multiplication.
How is 2^3 calculated?
2^3 is calculated as 2 multiplied by itself three times, resulting in the value of 8.
What is the result of (-3)^4?
The result of (-3)^4 is obtained by multiplying -3 by itself four times, which equals 81.
How is (5/7)^2 computed?
To compute (5/7)^2, you multiply 5/7 by itself, resulting in the fraction 25/49.
Can you provide an example of power calculation?
An example of power calculation is (-2)^5, which equals -32 by multiplying -2 by itself five times.
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Summary
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Understanding the Power of Exponents
- Definition of power: a^n = a x a x a x ...x a (a for n times)
- Example: 2^3 = 2x2x2 = 8
- Example: (-3)^4 = (-3)(-3)(-3)(-3) = 9x9 = 81
- Example: (5/7)^2 = (5/7)(5/7) = 35/47
