1. a.
[tex]5^0+0^7+1^3+10^1+7^2\\1+0+1+10+49=12+49=61[/tex]
b.
[tex]7^{20}\times 7^1-7^{21}\\7^{21}-7^{21}=0[/tex]
c.
[tex]a^n:a^m=a^{n-m}\\2^{46}:2^{43}=2^3=8[/tex]
d.
[tex](7^7)^8:(7^9)^6\\7^{56}:7^{54}=7^2=49[/tex]
2.
[tex]7^{30}:49^{15}+{7^2}^0+7^1\times [2401:7^3+7^2(7\times 7^2-336^1)]\\7^{30}:7^{30}+7+7[7^4:7^3+7^2(343-336)]\\1+7+7(7+7^2\times 7)\\8+7[7(1+7^2)]\\8+7(7\times 50)\\8+7\times 350=8+2450=2458[/tex]
1. a.
[tex]7^0+1^3+0^4+8^1+7^2\\1+1+0+8+49=10+49=59[/tex]
b.
[tex]4^{27}\times 4:4^{28}\\4^{28}:4^{28}=1[/tex]
c.
[tex]8^{40}:8^{38}=8^2=64[/tex]
d.
[tex](3^{8})^5:3^{37}\\3^{40}:3^{37}=3^3=27[/tex]
2.
[tex]2^{30}:2^{25}+{2^4}^0-2^1\times [128:2^5+2^3:(2\times 2^4-24^1)]\\2^5+2-2[2^7:2^5+2^3:(32-24)]\\34-2(2^2+2^3:8)\\34-2(4+1)\\34-2\times 5\\34-10=24[/tex]
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