Question

simplify radicals. do not leave any fractional expo..
3^3 x 27^ -4/3

the answer is 1/3. However, I cannot seem to figure how to get it. step by step please! Thank you!

Answer 1

change 27 to base 3

Answer 2

3*3*3 = ?

Answer 3

so 3^3

Answer 4

yes

Answer 5

i got that part.. however. im still stuck

Answer 6

in the end, i end up with a different number

Answer 7

\[3^{3} * (3^{3})^{-4/3}\]

Answer 8

^ i got that part down already. I canceled out the ^3 which leads to 1/12

Answer 9

use the rule:
\[(B ^{a})^{c} = B ^{a*c}\]

Answer 10

yep

Answer 11

i mean

Answer 12

81

Answer 13

1/81

Answer 14

then use the rule
\[B ^{a} *B ^{c} =B ^{a+c}\]

Answer 15

ohh i see my mistake. Thank you anyway!

Answer 16

anyway?