Đáp án:
Giải thích các bước giải:
1
$\frac{1}{64}$= $($\frac{1}{2}$ )^{6}$
$\frac{125}{64}$= $($\frac{5}{4}$) ^{3}$
$\frac{128}{$3^{4}$ }
2.
a) $\frac{$75^{4}$ }{$25^{4}$ }$ = $($\frac{75}{25}$ )^{4}$ =$3^{4}$ =81
b) $($\frac{1}{5}$) ^{3}$ .$15^{3}$ =$($\frac{1}{5}$.15) ^{3}$ =$3^{3}$ =27
c) $($\frac{1}{7}$) ^{3}$ :$($\frac{1}{14}$ )^{3}$ =$($\frac{1}{}7$ :$\frac{1}{14}$ )^{3}$=$2^{3}$ =8
d) $270^{5}$: $90^{5}$ =$(270:90)^{5}$ =$3^{5}$ =243
3.
a)$\frac{$2^{14}$. $9^{2}$ }{$6^{7}$ .$8^{2}$ }$
=$\frac{$2^{14}$ .$3^{4}$ }{$3^{7}$ .$2^{7}$.$2^{6}$ }$
=$\frac{2}{27}$
b) $\frac{$3^{10}$. $27^{2}$ }{$9^{6}$ }$
=$\frac{$3^{10}$ .$3^{6}$ }{$3^{12}$ }$
=$\frac{$3^{16}$ }{$3^{12}$ }$
=$3^{4}$ =81
c)$\frac{$2^{7}$ .$9^{4}$ }{$8^{3}$ .$3^{7}$ }$
=$\frac{$2^{7}$. $3^{8}$ }{$2^{9}$ .$3^{7}$ }$
=$\frac{3}{4}$
d) $\frac{$3^{16}$. $27^{10}$ }{$9^{22}$ }$
=$\frac{$3^{16}$ .$3^{30}$ }{$3^{44}$ }$
=$3^{6}$ =729
e) $\frac{$3^{17}$. $81^{11}$ }{$27^{10}$. $9^{15}$ }$
=$\frac{$3^{17}$. $3^{44}$ }{$3^{30}$ $3^{30}$ }$
=3
