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a) 53.57 = 53+7 = 510
b) 24.25.29=24+5+9 = 218
c) 102.104.106.108 = 102+4+6+8 = 1020.
a)3^3-2=3
b)625/25=25=5^2
c)8^3+2=8^5
d)5^4+3/5^2=5^7:5^2=5^7-2=5^5
a. \(3^4.3^5=3^9\)
\(16.2^9=2^4.2^9=2^{13}\)
\(16.32=2^4.2^5=2^9\)
b. \(12^8.12=12^9\)
\(243:3^4=3^5:3^4=3\)
\(10^9:10000=10^9:10^4=10^5\)
c. \(4.8^6.2.8^3=2^2.2^{18}.2.2^9=2^{30}\)
\(12^2.2.12^3.6=12^2.12.12^3=12^6\)
\(6^3.2.6^4.3=6^3.6.6^4=6^8\)
a) `7^4 .7^5 .7^6 = 7^(4+5+6)=7^(15)`
b) `(54:3^7) .324 =( 2.3^3 : 3^7).2^2 x3^4`
`=(2: 3^4).3^4 .2^2`
`= 2.2^2=2^3`
c) `[(8+2^2).10^100] : (10^0 .10^94)`
`=(12 . 10^100) : 10^94`
`=12 . (10^100 : 10^94)`
`=12 . 10^6`
d) `a^9 :a^9 = a^(9-9)=a^0`
\(3^2\cdot4^3-3^2+333\)
\(=3^2\left(4^3-1\right)+333\)
\(=3^2\cdot63+333\)
\(=3^4\cdot7+3^2\cdot37\)
\(=3^2\left(63+37\right)\)
\(=30^2\)
B=32⋅43−32+333
B=32(43−1)+333
B=32⋅63+333
B=34⋅7+32⋅37
B=32(63+37)
B=302
a) 76:74 = 76−4 = 72
b) 1091100: 1091100 = 1091100−100 = 10910
a) 76 : 74=72 b) 1 091100 : 1 091100=1