The exponent cannot be
added to the product because it stated in the law of exponents. An
exponent is simply the shorthand in multiplying your base number. Exponent
will give how many times you will multiply the base numbers. It is not
possible that you add both exponents in the given situation because they
have different value together.
=> 12^3 x 11^3
If we solve this equation following the rule of exponent will get the
correct answer:
=> (12 x 12 x 12) x (11 x 11 x 11)
=> 1728 X 1331
=> the answer is 2 299 968
But if we add the exponent, the answer would be wrong
=> 12^3 x 11^3
=> 132^6
=> 5289852801024 which is wrong.
When dividing these, the powers are subtracted form each other.
We could split up the fraction into r's, s's, and t's.
r^-3 / r^2 = r^-5 [think of it as -3 -2]
s^5 / s = s^4
t^2 / t^-2 = t^4 [2 - - 2 = 4]
A negative power places it on the bottom of the fraction and the minus sign is removed from the power.
So the answer is A: (s^4)(t^4)/r^5
