How do you simplify the expression #(42a^5b^6)/(7a^2b^3)#?
The first simplification we can make involves the big numbers 42 and 7. Notice that 42 is a multiple of 7:
Next, let's simplify those exponents. The rule is simple, and it's called the quotient of powers property:
This property only works with powers that have the same base. Therefore, we can subtract the powers of the upper and lower letters that are the same: