Viết tích sau dưới dạng lũy thừa của một số nguyên:
2.2.2.(-5).(-5).(-5)
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a) 5.5.5.5.5 = 5 5
b) ( − 3 ) . ( − 3 ) . ( − 3 ) .3.3 = ( − 3 ) . ( − 3 ) . ( − 3 ) . ( − 3 ) . ( − 3 ) = ( − 3 ) 5
c) 2.2.2. ( − 5 ) . ( − 5 ) . ( − 5 ) = 2. ( − 5 ) . 2. ( − 5 ) . 2. ( − 5 ) = ( − 10 ) . ( − 10 ) . ( − 10 ) = ( − 10 ) 3
d) ( − 8 ) . ( − 5 ) 3 .64 = ( − 2 ) 3 . ( − 5 ) 3 .4 3 = ( − 2 ) . ( − 5 ) .4 3 = 40 3
( − 8 ) . ( − 5 ) 3 .64 = ( − 2 ) 3 . ( − 5 ) 3 .4 3 = ( − 2 ) . ( − 5 ) .4 3 = 40 3
a) \(\left(-5\right)\left(-5\right)\left(-5\right)\left(-5\right)\left(-5\right)=\left(-5\right)^5\)
b)\(\left(-2\right)\left(-2\right)\left(-2\right)\left(-3\right)\left(-3\right)\left(+3\right)=\left(-2\right)^3\cdot\left(-3\right)^2\cdot3=\left(-2\right)^3\cdot3^3\)
c) \(\left(-7\right)\cdot7\cdot5\cdot\left(-5\right)\left(-5\right)=\left(-7^2\right)\cdot\left(-5\right)^3\)
d) \(\left(-8\right)\left(-3\right)3\cdot125=\left(-2^3\right)\cdot\left(-3^2\right)\cdot5^3\)
e) \(27\cdot\left(-2\right)3\left(-7\right)\cdot49=3^4\cdot\left(-2\right)\cdot\left(-7^3\right)\)
a: \(\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)=\left(-5\right)^5\)
b: \(\left(-2\right)\cdot\left(-2\right)\cdot\left(-2\right)\cdot\left(-3\right)\cdot\left(-3\right)\cdot\left(+3\right)=\left(-2\right)^3\cdot3^3\)
\(25\cdot5^3\cdot\dfrac{1}{625}\cdot5^3=5^8\cdot\dfrac{1}{5^4}=5^4\)
2.2.2. ( − 5 ) . ( − 5 ) . ( − 5 ) = 2. ( − 5 ) . 2. ( − 5 ) . 2. ( − 5 ) = ( − 10 ) . ( − 10 ) . ( − 10 ) = ( − 10 ) 3