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3^46=____ (mod 8) ?

Guest Dec 18, 2014

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Best Answer

You can also do it on the web2 calc (it is on the Home page)

Mod(3^46,8)

$$\left({{\mathtt{3}}}^{{\mathtt{46}}}\right) {Mod} \left({\mathtt{8}}\right) = {\mathtt{1}}$$

Melody Dec 19, 2014

Melody · Answer 1 · 2014-12-19T12:48:46

You can also do it on the web2 calc (it is on the Home page)

Mod(3^46,8)

$$\left({{\mathtt{3}}}^{{\mathtt{46}}}\right) {Mod} \left({\mathtt{8}}\right) = {\mathtt{1}}$$

Guest · Answer 2 · 2014-12-18T10:28:58

geno3141 · Answer 3 · 2014-12-18T11:39:32

3¹ = 3 mod 8 = 3 3³ = 27 mod 8 = 3 3⁵ = 243 mod 8 = 3

3² = 9 mod 8 = 1 3⁴ = 81 mod 8 = 1 3⁶ = 729 mod 8 = 1

So, if the exponent is even, its mod 8 value is 8 ...

and, if the exponent is add, its mode 8 value is 1 ...