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\frac{{4}^{3}\times {2}^{-3}+{(\frac{1}{3})}^{-4}\times 3-2}{5(1,2)}e5(1,2)43×2−3+(31)−4×3−2e
1
Simplify {4}^{3}43 to 6464
\frac{64\times {2}^{-3}+{(\frac{1}{3})}^{-4}\times 3-2}{5(1,2)}e5(1,2)64×2−3+(31)−4×3−2e
2
Use Negative Power Rule: {x}^{-a}=\frac{1}{{x}^{a}}x−a=xa1
\frac{64\times \frac{1}{{2}^{3}}+{(\frac{1}{3})}^{-4}\times 3-2}{5(1,2)}e5(1,2)64×231+(31)−4×3−2e
3
Simplify {2}^{3}23 to 88
\frac{64\times \frac{1}{8}+{(\frac{1}{3})}^{-4}\times 3-2}{5(1,2)}e5(1,2)64×81+(31)−4×3−2e
4
Use Negative Power Rule: {x}^{-a}=\frac{1}{{x}^{a}}x−a=xa1
\frac{64\times \frac{1}{8}+\frac{1}{{(\frac{1}{3})}^{4}}\times 3-2}{5(1,2)}e5(1,2)64×81+(31)41×3−2e
5
Use Division Distributive Property: {(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}(yx)a=yaxa
\frac{64\times \frac{1}{8}+\frac{1}{\frac{1}{{3}^{4}}}\times 3-2}{5(1,2)}e5(1,2)64×81+3411×3−2e
6
Simplify {3}^{4}34 to 8181
\frac{64\times \frac{1}{8}+\frac{1}{\frac{1}{81}}\times 3-2}{5(1,2)}e5(1,2)64×81+8111×3−2e
7
Simplify 64\times \frac{1}{8}64×81 to \frac{64}{8}864
\frac{\frac{64}{8}+\frac{1}{\frac{1}{81}}\times 3-2}{5(1,2)}e5(1,2)864+8111×3−2e
8
Simplify \frac{64}{8}864 to 88
\frac{8+\frac{1}{\frac{1}{81}}\times 3-2}{5(1,2)}e5(1,2)8+8111×3−2e
9
Invert and multiply
\frac{8+81\times 3-2}{5(1,2)}e5(1,2)8+81×3−2e
10
Simplify 81\times 381×3 to 243243
\frac{8+243-2}{5(1,2)}e5(1,2)8+243−2e
11
Simplify 8+243-28+243−2 to 249249
\frac{249}{5(1,2)}e5(1,2)249e
12
Simplify 5\times (1,2)5×(1,2) to 5\times 1,25×1,2
\frac{249}{5\times 1,2}e5×1,2249e
13
Simplify 5\times 15×1 to 55
\frac{249}{5,2}e5,2249e
14
Simplify \frac{249}{5,2}5,2249 to \frac{249}{5},25249,2
(\frac{249}{5},2)e(5249,2)e
15
Simplify
\frac{249e}{5},25249e,2
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