Answer
a. $81$
b. $-81$
c. $\frac{1}{81}$
d. $25$
e. $\frac{16}{9}$
f. $8$
Work Step by Step
a.$(-3)^{4} $
$=( -3 \times-3\times-3\times-3) = 81$
b. $-3^{4} $
$=-(3\times3\times3\times3) = -81$
c.$3^{-4} $
$= \frac{1}{3^{4}} = \frac{1}{81}$
d.$\frac{5^{12}}{5^{10}}$
Subtract the exponents.
$=5^{12-10} = 5^{2} = 25$
e. $(\frac{3}{4})^{-2}$
$=\frac{4}{3}^{2} = \frac{4^{2}}{3^{2}} = \frac{16}{9}$
f. $16^{\frac{3}{4}}$
$(\sqrt[4] 16)^{3} = 2^{3} = 8$
