Question

list the laws of exponent

Answer 1

Rule name Rule
Product rules a n ⋅ a m = a n+m
a n ⋅ b n = (a ⋅ b) n
Quotient rules a n / a m = a n-m
a n / b n = (a / b) n
Power rules (bn)m = bn⋅m
bnm = b(nm)
m√(bn) = b n/m
b1/n = n√b
Negative exponents b-n = 1 / bn
Zero rules b0 = 1
0n = 0 , for n>0
One rules b1 = b
1n = 1
Minus one rule
Derivative rule (xn)' = n⋅x n-1
Integral rule ∫ xndx = xn+1/(n+1)+C

Answer 2

Answer:

$x^{1} = x$

$x^{0} = 1$

$x^{-1} = 1/x$

$x^{m} x^{n} = x^{m+n}$

$x^{m} /x^{n} = x^{m-n}$

$(x^{m} ){n} = x^{mn}$

$(xy)^{n} = x^{n} y^{n}$$(x/y)^{n} = x^{n} /y^{n}$

$x^{-n} = 1/x^{n}$

$x^{m/n} = \sqrt[n]{x^{m}} = (\sqrt[n]{x})^{2}$

Step-by-step explanation: