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\(\left(0,125\right)^3\cdot512\)
\(=\left(0,125\right)^3\cdot2^9\)
\(=\left(0,125\right)^3\cdot8^3\)
\(=\left(0,125\cdot8\right)^3\)
\(=1^8=1\)
\(\left(0,25\right)^4\cdot1024\)
\(=\left(0,25\right)^4\cdot2^{10}\)
\(=\left(0,625\right)^2\cdot32^2\)
\(=\left(0,625\cdot32\right)^2\)
\(=20^2=400\)
\(\left(0,125\right)^3.512=\left(0,125\right)^3.8^3=\left(0,125.8\right)^3=1^3=1\)
\(\left(0,25\right)^4.1024=\left(0,25\right)^4.2^{10}=\left(0,25\right)^4.2^8.2^2\)
= \(\left(0,25\right)^4.4^44\)
= \(\left(0,25.4\right)^4.4\)
= \(1^4.4\)
= 1.4=4
a) \(\left(\dfrac{1}{2}\right)^3.\left(\dfrac{1}{4}\right)^2\)
\(=\dfrac{1}{8}.\dfrac{1}{16}\)
\(=\dfrac{1}{128}\)
b) \(16:\left(0,125\right)^3.512\)
\(=16:\dfrac{1}{512}.512\)
\(=16:\left(\dfrac{1}{512}.512\right)\)
\(=16:1\)
\(=16\)
a, \(\left(\dfrac{1}{2}\right)^3\). \(\left(\dfrac{1}{4}\right)^2\)
=\(\dfrac{1}{8}\).\(\dfrac{1}{16}\)
=\(\dfrac{1}{128}\)
b, 16 : (0,125)3.512
= 16 : \(\dfrac{1}{512}\).512
= 16 : 1
=16
\(\left(0,125\right)^3\times512=\left(\frac{125}{1000}\right)^3\times512=\left(\frac{1}{8}\right)^3\times512=\frac{1^3}{8^3}\times512=\frac{1}{512}\times512=\frac{512}{512}=1\)
a, =\(\left(\dfrac{-1}{2}\times3\right)^7\) = (-1,5)\(^7\) = \(-17\dfrac{11}{128}\)
b,=(0,125)\(^3\) \(\times\) 8\(^3\) = ( 0,125\(\times\)8)\(^3\) =1\(^3\)=1
c,\(\dfrac{90^2}{15^2}\) = \(\left(\dfrac{90}{15}\right)^2\) =6\(^2\) =36
\(\left(\dfrac{1}{7}\right)^7\cdot7^7=\left(\dfrac{1}{7}\cdot7\right)^7=1^7=1\\ \left(0,125\right)^3\cdot512=\left(0,125\right)^3\cdot8^3=\left(0,125\cdot8\right)^3=1^3=1\\ \left(0,25\right)^4\cdot1024=\left(0,25\right)^4\cdot256\cdot4=\left(0,25\right)^4\cdot4^4\cdot4=\left(0,25\cdot4\right)^4\cdot4=1^4\cdot4=4\)
a) \(\left(\dfrac{1}{7}\right)^7.7^7=\left(\dfrac{1}{7}.7\right)^7=1^7=1\)
b) \(\left(0.125\right)^3.512=\left(0.125\right)^3.8^3=\left(0.125\cdot8\right)^3=1^3=1\)
c) \(\left(0.25\right)^4.1024=\left(0.25\right)^4.4^5=\left(0.25\right)^4.4^4.4=\left(0.25.4\right)^4.4=1^4.4=1.4=4\)
\(\left(0,125\right)^3.512=\left(0,125\right)^3.8^3=\left(0,125.8\right)^3=1^3=1\)
\(\left(0,125\right)^3.512\)
\(=\left(0,125\right)^3.8^3\)
\(=\left(0,125\cdot8\right)^3\)
\(=1^3\)
\(=1\)