An exponent of 1 can be ignored. In the same way that multiplication by 1 can be ignored.
When multiplying a variable with an exponent by a variable without an exponent, you add the exponent of the first variable to the exponent of the second variable (which is considered to be 1). For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3). This rule applies to variables with the same base.
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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
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