Question

simplify 27 ^(-1/3)

Answer 1

the 3 in the denominator of the exponent means take the cubed root
the minus sign means take the reciprocal

Answer 2

the cubed root of 27 is 3 because \(3^3=27\) and the reciprocal of \(3\) is \(\frac{1}{3}\) so
\[27^{-\frac{1}{3}}=\frac{1}{3}\]

Answer 3

okay thanks. can you help me to simplify this
(a^6)^−2/3

Answer 4

yes, this time multiply the exponents together, since you do not have a number to compute

Answer 5

\[(a^6)^{-\frac{2}{3}}=a^{6\times -\frac{2}{3}}=a^{-4}\]

Answer 6

if you have to write using only positive exponents, write
\[a^{-4}=\frac{1}{a^4}\]

Answer 7

i got a^4

Answer 8

that is mistake, since you dropped the minus sign somewhere

Answer 9

-4