Answer and Step-by-step explanation:
When multiplying two numbers (or variables) of the same exponent, the solution would have the exponents adding each other:
![a^(x) * a^(y) = a^(x+y)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/eh0ttls3c07b0xgbmwb3sw714dpzuxb19c.png)
When dividing two numbers (or variables) of the same exponent, the solution would have the exponents subtracting each other:
![a^(x) / a^(y) = a^(x-y)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/btorg8bjctuzqlqwy8zxqutv5uwbjhpp3x.png)
When a number with an exponent is being raised to an exponent, the solution would have the exponents multiplying each other:
![(a^{x)^(y) } = a^(xy)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3dckt5qqgly1dfuc0u6eicunmerfdiv846.png)
When there are two variables in parentheses and an exponent on the outside, the exponent will power both variables:
![(ab)^(x) = a^(x) b^(x)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nsu769roisctjpdoac69nh66otrzzflve1.png)