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\(a.\) \(5\cdot5\cdot5\cdot5=5^4\)
\(b.\) \(9\cdot9\cdot9\cdot9\cdot9\cdot9\cdot9=9^7\)
\(c.\) \(7\cdot7\cdot7\cdot7\cdot7=7^5\)
\(d.\) \(a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a=a^8\)
.a. 5⋅5⋅5⋅5=5^4
.b. 9⋅9⋅9⋅9⋅9⋅9⋅9=9^7
.c. 7⋅7⋅7⋅7⋅7=7^5
d. a⋅a⋅a⋅a⋅a⋅a.a.a=a^8
a) 7 . 7 . 7 . 7 . 7 = 7 5
b) 3 . 3 . 3 . 3 . 9 = 3 . 3 . 3 . 3 . 3 2 = 3 6
c) 15 . 3 . 5 . 15 = 15 . 15 . 15 = 15 3
d) 100 . 10 . 10 . 1000 = 10 2 . 10 . 10 . 10 3 = 10 7
a) 7.77.7.7 = 7 5
b) 3. 3. 3. 3.9 = 3. 3. 3.3. 3 2 = 3 6
c) 15.3.5.15 = 15.15.15 = 15 3
d) 100.10.10.1000 = 10 2 . 10.10. 10 3 = 10 7
a) 7.7.7.7.7 = 7 5
b) 3. 3. 3. 3.9 = 3. 3. 3.3 . 3 2 = 3 6
c) 15.3.5.15 = 15.15.15 = 15 3
d) 100.10.10.1000 = 10 2 . 10.10. 10 3 = 10 7
a) \(...=10^5.10^2.10^2=10^9\)
b) \(...=\left(2^2.3\right).\left(2^2.3\right).\left(2^2.3\right).2.3=2^7.3^4\)
c) \(...=5^2.5.2^2.2.2.5=2^4.5^4\)
d) \(...=7.3.2.5.2.5.3.5.2.5=2^33^2.5^4.7\)
a/
\(100000.100.10.10=10^5.10^2.10.10=10^9=2^9.5^9\)
b/
\(12.12.12.6=2^2.3.2^2.3.2^2.3.2.3=2^7.3^4\)
c/
\(25.5.4.2.10=5^2.5.2^2.2.2.5=2^4.5^4\)
d/
\(210.10.3.5.10=21.10.10.3.5.10=3.7.2.5.2.5.3.5.2.5=2^3.3^2.5^4.7\)
a: \(3\cdot3\cdot3\cdot3\cdot3=3^5\)
b: \(y\cdot y\cdot y\cdot y=y^4\)
c: \(5\cdot p\cdot5\cdot p\cdot2\cdot q\cdot4\cdot q=25\cdot2\cdot4\cdot p^2q^2=2\cdot\left(10qp\right)^2\)
d: \(a\cdot a+b\cdot b+c\cdot c+d\cdot d\cdot d\cdot d=a^2+b^2+c^2+d^4\)
a) \(2.2.2.2.3.3.3.3=2^4.3^4\)
b) \(2.33.5555=2^1.3^2.5^4\)
c) \(5.5.5.5.4.4.4=5^4.4^3\)
d) \(8.8.10.25.16=2^3.2^3.2.5.5^2.2^4=2^{11}.5^3\)
\(a,5\cdot5\cdot5\cdot5=5^4\\b,9\cdot9\cdot9\cdot9\cdot9\cdot9\cdot9=9^7\\c,7\cdot7\cdot7\cdot7\cdot7=7^5\\d,a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a=a^8\)
a/ 54
b/97
c/75
d/a8