Question

Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared?
StartFraction 1 Over 2 Superscript 36 Baseline 3 Superscript 48 Baseline EndFraction
StartFraction 1 Over 3 Superscript 8 Baseline EndFraction
3 Superscript 8
2 Superscript 36 Baseline 3 Superscript 48

Answer 1

Compute each power: (2^-2 * 3^4)^-3 = 2^{(-2)(-3)} * 3^{4(-3)} = 2^6 * 3^{-12}.
(2^-3 * 3^2)^2 = 2^{-6} * 3^4.
Multiply: 2^{6-6} * 3^{-12+4} = 2^0 * 3^{-8} = 3^{-8} = 1/3^8.

So the correct choice is: 1/(3^8).