Question

Which is the simplified form of the expression (6 Superscript negative 2 Baseline times 6 Superscript 5 Baseline) Superscript negative 3?
6 Superscript 30
StartFraction 1 Over 6 Superscript 9 EndFraction
6 Superscript 0
StartFraction 1 Over 6 Superscript 13 Baseline EndFraction

Answer 1

Combine the exponents inside, then apply the power rule:

6^{-2} * 6^{5} = 6^{(-2+5)} = 6^{3}
(6^{3})^{-3} = 6^{3 * (-3)} = 6^{-9} = 1 / 6^{9}

So the simplified form is 1 / 6^9.