Laws  the law about Fractional Exponents components

Laws the law about Fractional Exponents components

1. Laws of exponents . The exponent of a number says how many times to use the number in a multiplication x2x3 = (xx)(xxx) = xxxxx = x5

2. The law that xmxn = xm+n With xmxn, how many times do we end up multiplying "x"? Answer: first "m" times, then by another "n" times, for a total of "m+n" times. x2x3 = x2+3 = x5

3. The law that xm/xn = xm-n Like the previous example, how many times do we end up multiplying "x"? Answer: "m" times, then reduce that by "n" times (because we are dividing), for a total of "m-n" times. x6/x2 = x6-2 = x4

4. The law that (xm)n = xmn First you multiply "m" times. Then you have to do that "n" times, for a total of m×n times (x2)3 = x2×3 = x6

5. The law that (xy)n = xnyn To show how this one works, just think of re-arranging all the "x"s and "y"s as in this example: (xy)3 = x3y3

6. The law that (x/y)n = xn/yn just re-arrange the "x"s and "y"s (x/y)2 = x2 / y2

7.  the law about Fractional Exponents

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