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-3 raised to the power of 3 is written (-3) 3 = -27. Note that in this case the answer is the same for both -3 3 and (-3) 3 however they are still calculated differently. -3 3 = -1 * 3 * 3 * 3 = (-3) 3 = -3 * -3 * -3 = -27. For 0 raised to the 0 power the answer is 1 however this is considered a definition and not an actual calculation ...
Exponents with negative bases raised to positive integers are equal to their positive counterparts in magnitude, but vary based on sign. If the exponent is an even, positive integer, the values will be equal regardless of a positive or negative base. If the exponent is an odd, positive integer, the result will again have the same magnitude, but ...
The base a raised to the power of n is equal to the multiplication of a, n times: a n = a × a ×... × a n times. a is the base and n is the exponent. Examples. 3 1 = 3. 3 2 = 3 × 3 = 9. 3 3 = 3 × 3 × 3 = 27. 3 4 = 3 × 3 × 3 × 3 = 81. 3 5 = 3 × 3 × 3 × 3 × 3 = 243. Exponents rules and properties
Any number raised to the power of 0 equals 1. If a number is raised to a negative power, it can be rewritten as 1 divided by that number raised to the power, e.g., 2^-2 = 1/2^2. If a number is raised to a power expressed as a fraction, it should be rooted, e.g., 4^1/2 = √4 = 2.
We can raise exponential to another power, or take a power of a power. The result is a single exponential where the power is the product of the original exponents: \begin{gather} (x^a)^b = x^{ab}. \label{power_power} \end{gather}
In 8 2 the "2" says to use 8 twice in a multiplication, so 8 2 = 8 × 8 = 64. In words: 8 2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared". Some more examples:
The above expression, 8 n, is said as 8 raised to the power n. Therefore, exponents are also called power or sometimes indices. Examples: 2 x 2 x 2 x 2 = 2 4; 5 x 5 x 5 = 5 3; 10 x 10 x 10 x 10 x 10 x 10 = 10 6; General Form of Exponents. The exponent is a simple but powerful tool. It tells us how many times a number should be multiplied by ...
1.1 raised to 10. Solution: 1.1 raised to 10 = 2.5937. Solve Negative exponents. Exponents that are smaller than zero. Example: Solve 6-3. Solution: Step 1: Divide 6-3 by 1 to make the exponent positive. 6-3 = 1/6 3 (6 to the 3rd power) Step 2: Write the base and multiply it up to power times.
Exponentiation is a mathematical operation in which a number called the base is raised to a power, which is given by the exponent. The exponent is usually written as a superscript, for example if the base is b and the exponent e the exponentiation of b by e will be b e. This is the operation this online exponent calculator performs for you.
The exponent calculator will calculate the value of any base raised to any power. This page will cover all the related topics, including the negative exponent. Let's start with the basics. What is an exponent? An exponent is a way to represent how many times a number, known as the base, is multiplied by itself. It is represented as a small ...