The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.
a2 X a6 = a8
kahit ano sagot
That depends how you choose to number the laws.
the base and the laws of exponent
This is one of the laws of exponents, which states that xa * xb = x(a+b) The base is x, and the two powers (or exponents) are a and b.
Convert all expressions to the same base.
Exponents are used in many different contexts and for different, though related, reasons. Exponents are used in scientific notation to represent very large and very small numbers. The main purpose it to strip the number of unnecessary detail and to reduce the risk of errors. Exponents are used in algebra and calculus to deal with exponential or power functions. Many laws in physics, for example, involve powers (positive, negative or fractional) of basic measures. Calculations based on these laws are simper if exponents are used.
number3 33 = 27 which is three cube equals twenty seven
"Please Excuse My Dear Aunt Sally" Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. You do things in Parentheses first, followed by exponents, then multiplication and so on.
The answer to your question is derived from the Laws of Exponents. According to these laws when you encounter exponents in division problems you perform a subtraction. (Ex. a2/a3) After subtracting the exponents (2-3= -1) you are left with an exponent of -1 (a-1) This is just another way to write 1/a1 , or more commonly, just 1/a.
There is only one law for exponents in division, and that is 1/ax = a-x