Thursday, February 20, 2020

Laws of Exponents

Laws of Exponents


LawExample
x1 = x61 = 6
x0 = 170 = 1
x-1 = 1/x4-1 = 1/4
xmxn = xm+nx2x3 = x2+3 = x5
xm/xn = xm-nx6/x2 = x6-2 = x4
(xm)n = xmn(x2)3 = x2×3 = x6
(xy)n = xnyn(xy)3 = x3y3
(x/y)n = xn/yn(x/y)2 = x2 / y2
x-n = 1/xnx-3 = 1/x3
And the law about Fractional Exponents:
x^(m/n) = n-th root of (x^m) = (n-th root of x)^mx^(2/3) = 3rd root of (x^2) = (3rd root of x)^2

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