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Graphs of y = bx for various bases b: base 10 base e base 212 Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1. At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself.
Now, let’s go over the seven (7) basic exponent rules or laws. Description of Each Exponent Rule with Examples. RULE 1: Zero Exponent Property. [latex]{b^0} = 1[/latex] Any nonzero number raised to zero power is equal to 1. Examples: Simplify the exponential expression [latex]{5^0}[/latex].
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The exponents of any number will be equal to 1. b^0 = 1 b0 = 1 Where b is a base (positive or negative)
Negative exponents can be rewritten in two ways. Firstly, start with 1 and divide it by 2 the same number of times as the exponent. Secondly, take the reciprocal of the base and raise it to the positive exponent. Created by Sal Khan.
This is one of the most simple exponent rules. Let x represent any number. Then: Image by Caroline Kulczycky. For example: 61=6 (32x)1=32x (x+y+z)1=x+y+z. Notice that this rule isn't just limited to numbers. For instance, we can raise a variable to the first power. Both the second and third examples involve variables.
Any positive value to the power of 0 equals 1. The reason is that, since exponents represent repeated multiplication, then applying the power of 0 is essentially dividing a value by itself the specific number of times. For example, if we have 5^0, then that means we are multiplying it by its reciprocal the specific number of times it got multiplied. So when we have 5^0, are multiplying 5 by ...
