Laws of Exponents
x^1=x, x^0=1, x^(-1)=1/x
The first three laws follow from the natural sequence of exponents. Any value 'x' to the power of 1 will result in the value 'x'. Any value 'x' to the power of 0 will result in a value of 1. Any value 'x' taken to the power of -1 will result in a value equal to the inverse of 'x'
(x^m)/(x^n)=x^(m-n)This law is much like the previous multiplication law. When doing an example the long way you would multiply x by m and then reduce it by n times x. The law shortens it by allowing the exponents to subtract each other while being over one variable.
(xy)^n=(x^n)(y^n)For this law if we were to write out xy an n amount of times. We would have an n amount of x's and y's. SInce x and y are being multiplied we could write the problem as x^n times y^n, exactly how it is in this law.
x^(-n)=1/(x^n)This law follow the thought behind the exponent sequence. A negative exponent would result in an inverse of x. Therefore if x is being placed to the power of -n, the answer would be the inverse of x^-n, which is 1/(x^n).
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(x^m)(x^n)=x^(m+n)Doing this law the long way you would have to multiply x by m then by n and add them together. Law law quickens the concept by moving both exponents to one variable via addition.
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