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# What is the answer to

0
422
3

3^46=____ (mod 8) ?

Dec 18, 2014

#3
+95177
+5

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

Mod(3^46,8)

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

.
Dec 19, 2014

#1
+5
Dec 18, 2014
#2
+17747
+5

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 ...

Dec 18, 2014
#3
+95177
+5

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