Answer:
-19,683
Step-by-step explanation:
when we do it in 1 step, the exponent of an exponent is just the multiplication of both exponents, leading in our case to the exponent
3×-3 = -9
so, we have
(-1/3)^(-9) = 1 / (-1/3)⁹ = 1 / (-1/19,683) = -19,683
we keep the "-", because the exponent (9) is uneven (= odd). only even exponents turn everything into positive numbers. uneven exponents keep the original sign.
we could do it also in 2 steps :
(-1/3)³ = -1/27
again we keep the "-", because 3 is uneven/ odd.
and now that result we put to the power of -3.
that "-" on the exponent means 1/...
so,
(-1/27)^-3 = 1 / (-1/27)³ = -27³ = -19,683
again, the exponent 3 is uneven/ odd.
