Exponent/Sqrt rules

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x^a * x^b =
- = x^(a+b)
c³ * c⁵ =
- = c³⁺⁵
- = c⁸
5(5ⁿ) =
- = 5¹(5ⁿ)
- = 5ⁿ⁺¹
a^x * b^x
- = (ab)^x
2⁴ * 3⁴ =
- = (2*3)⁴
- = 6⁴
12⁵ =
- = 4⁵ * 3⁵
- = (2²)⁵ * 3⁵
- = 2¹⁰ * 3⁵
x^a / x^b =
- = x^(a-b)
2⁵/ 2¹¹ =
- = 2^(5-11)
- = 1 / 2⁶
- = 2^-6
x¹⁰ / x³=
- = x^(10-3)
- = x⁷
(a/b)^x =
- = a^x / b^x
(10/2)⁶ =
- = 10⁶/2⁶
- = 5⁶
3⁵/9⁵ =
- = (3/9)⁵
- = (1/3)⁵
(a^x)^y =
- = a^xy
- = (a^y)^x
(3²)⁴ =
- = 3^(2*4)
- = 3⁸
- = 3^(4*2)
- = (3⁴)²
x^-a =
- = 1/x^a
(3/2)^-2 =
- =(2/3)²
- = 4/9
2x^-4=

2/x⁴
a^x + a^x + a^x =
- = 3a^x
3^x + 3^x + 3^x =
- = 3*3^x
- = 3¹ + 3^x
- = 3^(x+1)
3⁴ + 3⁴ + 3⁴ =
- = 3 * 3⁴
- = 3¹ * 3⁴
- = 3⁽¹⁺⁴⁾
- = 3⁵
20⁵5¹⁰8² / 10⁵ =
- = (5*4)⁵5¹⁰(2³)² / (5*2)⁵
- = (5*2*2)⁵5¹⁰2⁶/(5⁵2⁵)
- = 5⁵*2⁵*2⁵*5¹⁰*2⁶ / (5⁵*2⁵)
- = 2⁵*5¹⁰*2⁶