Simplify (3n^3r^2)^3 show work i will mark brainliest

(3n^3r^2)^3 = 27n^9r^6

Because the exponents for ^3 are the same add them that's 6 and then you have 3 which need to tbe multiplied 3 times so 3 * 3 *3 equals 27 and the 9 comes from 3 * 3 exponent.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for