An exponent of 1 can be ignored. In the same way that multiplication by 1 can be ignored.
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Never subtract an /a 0 .
To evaluate a nonzero number with a negative integer exponent, you can use the rule that states ( a^{-n} = \frac{1}{a^n} ), where ( a ) is the nonzero number and ( n ) is the positive integer. For example, ( 2^{-3} ) can be evaluated as ( \frac{1}{2^3} = \frac{1}{8} ). This method effectively converts the negative exponent into a positive one by taking the reciprocal of the base raised to the corresponding positive exponent.
power of 0
When a variable is raised to the exponent of 0, the result is always 1, provided the base is not zero. This is based on the mathematical rule that states (a^0 = 1) for any non-zero number (a). Therefore, regardless of the variable or number, if it is in the form (x^0), it equals 1.
A Formula
An exponent is the power that a number is raised to. For instance, in the expression 3^2 ("three squared"), 2 is the "exponent" and 3 is the "base." A positive exponent just means that the power is a positive number. For instance, the following expression does not involve a positive exponent: 3^(-2). Horses rule!!!!!
1 divided by a number with an exponent is the same as the number to the exponent of opposite sign. For example 1 divided by 2 to the third power is the same as 2 to the minus 3 power
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Inspired could be though of as an integer as it does not have an exponent. d/dx(inspired) = 0 ==== Or, as a variable with the implied exponent 1. Using the power rule. d/dx(inspired 1 - 1) = inspired0 = 1 ====
Never subtract an /a 0 .
Inspired could be though of as an integer as it does not have an exponent. d/dx(inspired) = 0 ==== Or, as a variable with the implied exponent 1. Using the power rule. d/dx(inspired 1 - 1) = inspired0 = 1 ====
To evaluate a nonzero number with a negative integer exponent, you can use the rule that states ( a^{-n} = \frac{1}{a^n} ), where ( a ) is the nonzero number and ( n ) is the positive integer. For example, ( 2^{-3} ) can be evaluated as ( \frac{1}{2^3} = \frac{1}{8} ). This method effectively converts the negative exponent into a positive one by taking the reciprocal of the base raised to the corresponding positive exponent.
A negative exponent of a number is the same as the reciprocal of that same number to the equivalent positive exponent.EXAMPLE : 2-3 = 1/23When multiplying powers of the same base the rule is, addthe exponents.So, if the initial exponent is negative then the number has to be multiplied by a power of that number with an equivalent positive exponent greater than the negative exponent.EXAMPLE : 2-3 x 25 = 2(-3+5) = 22 (As 5 > l3l then the resultant exponent is positive)
power of 0
a-b is defined as 1 / ab