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nadya68 [22]
3 years ago
12

Can i get some help with these 2 problems

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0
I hope this helps you

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Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$
Blizzard [7]
\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}

a^{81}\equiv1^{81}\equiv1\pmod7

b^{91}\equiv2^{91}\pmod7

2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7
8\equiv1\pmod7
2\equiv2\pmod7
\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7

c^{27}\equiv6^{27}\pmod7

6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7

\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7
6 0
3 years ago
How does a computer drawing program compare to using a compass and straightedge?
notsponge [240]
A computer drawing program generally has more steps compared to using a compass and straightedge, although not by much. In a computer drawing program, you can erase an error within a click of a button, compared to having to manually perfect and erase your work when using a compass and straightedge. Also, you immediately have access to an online drawing program as long as you have Internet connection and a computer compared to having to go out and buy a new compass and straightedge. Other than that, they're generally the same despite being different mediums.

Hope this helps!
5 0
3 years ago
I need help please i will give u brainliest
IRISSAK [1]

Answer:

It's 1/6

Step-by-step explanation:

all you have to do is multiply the answer by 1/3 so 1/3 times 1/2 equals 1/6 so your answer is 1/6

6 0
3 years ago
there are 18 students attending band campn 4 girls and 14 boys.what is the ratio of girls to boys at band camp?
vovikov84 [41]

Answer:

4:14

Step-by-step explanation:

There are 4 girls and 14 boys. SInce it is asking girls to boys the number of girls goes first

7 0
3 years ago
Rajan bought a book for Rs. 180 and sold it to Sajan at a profit of 20% .Sajan sold that book to Nirajan at a loss of 20%. At wh
SIZIF [17.4K]

Answer:

226.8

Step-by-step explanation:

3 0
2 years ago
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