Question

simplify this expression
(-1/3) to the power of 4

Answer 1

Answer:

1/81

Step-by-step explanation:

$(-1/3) ^4\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \left(-a\right)^n=a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:even}\\\\\left(-\frac{1}{3}\right)^4=\left(\frac{1}{3}\right)^4\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\\\left(\frac{1}{3}\right)^4=\frac{1^4}{3^4}\\\\1^4=1\\3^4=81\\\\=\frac{1}{81}$

Answer 2

(-1/3) to the power of 4 is 1/81