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a) \(3^3.4^2\)
b) \(a^3+a^4\)
c) \(5^2\)
d) \(\frac{3^6.5}{4^2}\)
e) \(\frac{3^4.9^4}{9^4}=3^4\)
\(a,\left(-7\right)^6\)
\(b,\left(-4\right)^3.\left(-5\right)^3=\left[\left(-4\right).\left(-5\right)\right]^3=20^3\)
a)\(3.3.3.4.4.4=3^3.4^3=12^3\)
b)\(a.a.a+b.b.b.b=a^3+b^4\)
Chúc hk tốt nha!!!
Giải
a) (−8).(−3)3.(+125)(−8).(−3)3.(+125)
= [(−2).(−2).(−2)].[(−3).(−3).(−3)].(5.5.5)[(−2).(−2).(−2)].[(−3).(−3).(−3)].(5.5.5)
= [(−2).(−3).5].[(−2).(−3).5].[(−2).(−3).5][(−2).(−3).5].[(−2).(−3).5].[(−2).(−3).5]
= 30.30.30=30330.30.30=303
b) 27.(−2)3.(−7).(+49)27.(−2)3.(−7).(+49)
= (3.3.3).[(−2).(−2).(−2)].[(−7).(−7).(−7)](3.3.3).[(−2).(−2).(−2)].[(−7).(−7).(−7)]
= [3.(−2).(−7)].[3.(−2).(−7)].[3.(−2).(−7)][3.(−2).(−7)].[3.(−2).(−7)].[3.(−2).(−7)]
= 42.42.42=423
a, \(2+2^2+.....+2^{49}+2^{50}=2^{1+2+..+50}=2^{\frac{\left(50+1\right)\left[\left(50-1\right):1+1\right]}{2}}=1275\)
b, tương tự
a/ 63=6.6.6 = 216
b/ 52=5.5=25
c/ 112=11.11=121
ai k mk mk k lại nha
1) \(12\cdot12\cdot2\cdot12\cdot6=12\cdot12\cdot12\cdot12=12^4\)
2) \(25\cdot5\cdot4\cdot2\cdot10=\left(25\cdot4\right)\cdot\left(5\cdot2\cdot10\right)=100\cdot100=100^2=10^4\)
3) \(2\cdot10\cdot10\cdot3\cdot5\cdot10=3\cdot10\cdot10\cdot10\cdot10=3\cdot10^4\)
4) \(a\cdot a\cdot a+b\cdot b\cdot b\cdot b=a^3+b^4\)
Viết gọn các biểu thức sau bằng cách dùng lũy thừa
1) 12.12.2.12.6
=> 12 . 12 . 12 . (2 . 6)
= 12 . 12 . 12 . 12 . 12 = 125
2) 25.5.4.2.10
=> ( 25 . 4 ) . ( 2 . 5 . 10 )
= 100 . 100 = 1002
3) 2.10.10.3.5.10
=> ( 2 . 5 ) . 10 . 10 . 10 . 3
= 10 . 10 . 10 . 10 . 3 = 104 . 3
4) a.a.a cộng b.b.b.b
=> a3 + b4
a, a.a.a^2.a^4
=a^8
b, 4^3.2^4.2^5.16
=(2^2)^3.2^4.2^5.2^3
=2^6.2^4.2^5.2^3
=2^18
c, 5^2.5^3.125
=5^2.5^3.5^3
=5^8
d, 3^2.9.81
=3^2.3^2.3^4
=3^8
e, 2^3.2^3.18^2
=2^6.(2.3^2)^2
=2^6.2^2.3^4
=2^8.3^4
a)a.a.a^2.a^4 = a^2.a^2.a^4=a^8
b)4^3.2^4.2^5.16
=(2^2)^3.2^4.2^5.2^4
=2^6.2^4.2^4.2^4
=2^18
c)3^2.9.81
=3^2.3^2.3^4
=3^8
a: \(a\cdot a\cdot a=a^{1+1+1}=a^3\)
b: \(2x\cdot2x=\left(2x\right)^{1+1}=\left(2x\right)^2\)
\(a^3\)
\(\left(2x\right)^2\)