Question

Use the rules of exponents to simplify
-2(3x^5y^-2)^-3

Answer 1

\[\Large -2(3x ^{5}y ^{-2})^{-3}\]

Use the following identities:
\[\Large a ^{-m} = \frac{ 1 }{ a ^{m} }\]and\[\Large (a ^{m})^{n} = a ^{mn}\]

Answer 2

-2y^-6*(3x^5*3)^3

-2y^6/27x^15

Answer 3

@ranga

Answer 4

Yes. Except put a parenthesis around the denominator so we know everything is at the bottom and not just 27.

Answer 5

\[\Large \frac{ -2y ^{6} }{ 27x ^{15} }\]

Answer 6

If you write it like ^^^ no need for parenthesis.

But if you write it here like this then parenthesis is required: -2y^6/(27x^15)

Without parenthesis, -2y^6/27x^15 will be read as: -2y^6/27 times x^15