Answer:
Step-by-step explanation:
1
2 Simplify {4}^{11}4
11
to 41943044194304.
\frac{\frac{\frac{\frac{1}{4194304}}{3}}{{4}^{-2}}}{3}
3
4
−2
3
4194304
1
3 Use Negative Power Rule: {x}^{-a}=\frac{1}{{x}^{a}}x
−a
=
x
a
1
.
\frac{\frac{\frac{\frac{1}{4194304}}{3}}{\frac{1}{{4}^{2}}}}{3}
3
4
2
1
3
4194304
1
4 Simplify {4}^{2}4
2
to 1616.
\frac{\frac{\frac{\frac{1}{4194304}}{3}}{\frac{1}{16}}}{3}
3
16
1
3
4194304
1
5 Simplify.
\frac{\frac{1}{4194304}}{3\times \frac{1}{16}\times 3}
3×
16
1
×3
4194304
1
6 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
\frac{\frac{1}{4194304}}{\frac{3\times 1\times 3}{16}}
16
3×1×3
4194304
1
7 Simplify 3\times 13×1 to 33.
\frac{\frac{1}{4194304}}{\frac{3\times 3}{16}}
16
3×3
4194304
1
8 Simplify 3\times 33×3 to 99.
\frac{\frac{1}{4194304}}{\frac{9}{16}}
16
9
4194304
1
9 Invert and multiply.
\frac{1}{4194304}\times \frac{16}{9}
4194304
1
×
9
16
10 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
\frac{1\times 16}{4194304\times 9}
4194304×9
1×16
11 Simplify 1\times 161×16 to 1616.
\frac{16}{4194304\times 9}
4194304×9
16
12 Simplify 4194304\times 94194304×9 to 3774873637748736.
\frac{16}{37748736}
37748736
16
13 Simplify.
\frac{1}{2359296}
2359296
1
