Question

write the laws of exponents​

Answer 1

Answer:

Law Example

x1 = x 61 = 6

x0 = 1 70 = 1

x-1 = 1/x 4-1 = 1/4

xmxn = xm+n x2x3 = x2+3 = x5

xm/xn = xm-n x6/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/xn x-3 = 1/x3

And the law about Fractional Exponents:

x^(m/n) = n-th root of (x^m) = (n-th root of x)^m x^(2/3) = 3rd root of (x^2) = (3rd root of x)^2

Step-by-step explanation:

Answer 2

Answer:

${a}^{m} \times {a}^{n} = {a}^{m + n } \\ ( {a}^{m}) {}^{n } = {a}^{mn } \\ \frac{ {a}^{m} }{ {a}^{n} } = a {}^{m - n } \: \: if \: m> n \\ 1 \: if \: m = n \\ \frac{1}{ {a}^{n - m} } \: if \: m < n \\ {a}^{m} \times {b}^{m} =( ab) {}^{m} \\ \frac{1}{ {a}^{n} } = {a}^{ - n } \\ {a}^{0} = 1$