Question

simplify (x^3/5)^7/6. no clue where to begin on solving

Answer 1

(a^x)^y = a^(xy)

also,

(m/n) *(p/q) = mp/nq

Answer 2

so what numbers plug into where. I definetly missed this part in class

Answer 3

no, you dont plug anything anywhere. I was just showing rules of how exponents and multiplying fractions work.

Answer 4

(x^3/5)^7/6 = x^(3/5)*(7/6)
so since (3/5)*(7/6) = (21/30) = (7/10)
the answer is x^(7/10)

Answer 5

the rules is " a raised to the power x raised to the power y is equal to a raised to the power product of x and y"

Answer 6

(x^3/5)^7/6 = x^(3/5)*(7/6)
so since (3/5)*(7/6) = (21/30) = (7/10)
the answer is x^(7/10)

Answer 7

so say if it was switched to (x^5/3)^9/4 it would be 45/12 = 15/4

Answer 8

yes that would be correct x^(15/4)

Answer 9

yes, grags, very good!

Answer 10

to check this...plug a number into your calculator for x.
lets say x=5, so (5^5/3)^9/4 = 417.9626906
now plug 5 into what you think is the correct answer of x^(15/4)
5^(15/4) also equals 417.9626906 so your answer checks

Answer 11

ok lets hope i remember that. Final is tomorrow and i am doing a final review. somehow after 40 hours this week of studying i still am getting hung up on some questions