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\(16\cdot64\cdot8^2:(4^3\cdot2^5\cdot16)\)
\(=4^2\cdot8^2\cdot8^2:(4^3\cdot2^5\cdot4^2)\)
\(=4^2\cdot4096:(64\cdot32\cdot16)\)
\(=16\cdot4096:32768\)
\(=2\)
16 . 64 . 82 : ( 43 . 25 . 16 )
= 24 . 26 . 64 : ( 64 . 25 . 24 )
= 24 . 26 . 26 : ( 26 . 25 . 24 )
= 216 : 215
= 2
\(\Rightarrow H=2^4.2^6.2^6:\left(2^6.2^5.2^4\right)\)
\(\Rightarrow H=2^{16}:2^{15}\)
\(\Rightarrow H=2^1=2\)
tíc mình nha
125(28+72)-25(3^2.4+64)
=125.100-25(9.4+64)
=125.100-25.(36+64)
=125.100-25.100
=12500-2500
=10000
a) $125^3:25^4=(5^3)^3:(5^2)^4=5^9:5^8=5^1$
$16^4:4^2=(4^2)^4:4^2=4^8:4^2=4^6$
$27^8:9^4=(3^3)^8:(3^2)^4=3^{24}:3^8=3^{16}$
$125^5:25^3=(5^3)^5:(5^2)^3=5^{15}:5^6=5^9$
$4^{14}:5^{28}=(2^2)^{14}:5^{28}=2^{28}:5^{28}=(\dfrac{2}{5})^{28}$
b) $12^n:2^{2n}=12^n:(2^2)^n=12^n:4^n=3^n$
$64^4.16^5.4^{20}=(4^3)^4.(4^2)^5.4^{20}=4^{12}.4^{10}.4^{20}=4^{42}$
\(=2^6.2.41.\left[\left(2^2\right)^3:2^5.2^4\right]\)
\(=2^7.41.\left(2^6:2^5.2^4\right)\)
\(=2^7.41.\left(2^6:2^5.2^4\right)\)
\(=2^7.41.2^5\)
\(=2^{12}.41\)
\(64.82:\left(4^3:2^5.16\right)\)
\(=2^6.2.41:\left[\left(2^2\right)^3:2^5.2^4\right]\)
\(=2^7.41:\left(2^6:2^5.2^4\right)\)
\(=2^7.41:2^5\)
\(=\left(2^7:2^5\right).41\)
\(=2^2.41\)
\(=164\)