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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: \(a\cdot a+b\cdot b+c\cdot c+d\cdot d\cdot d\cdot d=a^2+b^2+c^2+d^4\)
1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)
b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)
c) \(10^8\div10^3=10^{8-3}=10^5\)
d) \(a^7\div a^2=a^{7-2}=a^5\)
2.
\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)
\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)
\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)
a. 715 : 75 = 715 - 5 = 710
b. a5 . a . a2 = a5 + 1 + 2 = a8
a) 100.10.10 = 102.10.10=104
b) a.a + b.b.b + c.c.c.c = a2 + b3 + c4
c)2.7.10.5.10=7.10.10.10=7.103
A) 100.10.10=10.10.10.10= 10^4
B) a^2+b^3+c^4
C) ( 2.5 ) .10 .10 .7=10.10.10.7=10^3 . 7
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a) 23 x 24 x 2 = 23+4+1 = 28
b) 52 x 57 x 53 = 52+7+3 = 512
c) 62 x 6 x 63 x 62 = 62+1+3+2 = 68
d) a3 x a5 x a7 x a = a3+5+7+1 = a16
a) \(3.3.3.3.3.3.3 = 3^7\)
b) \(2.a.2.a.2.a.2 = 2^4.a^3\)
c) \(a.a+b.b.b-c.c=a^2+b^3-c^2\)
d) \(6.8.9=2.3.2.2.2.3.3=2^4.3^3\)
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