Tính một cách hợp lí: \(\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
Tính hợp lý:
\(\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
\(\dfrac{4^2.25^2+32.125}{2^3.5^2}=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}=\dfrac{2^3.5^2\left(2.5^2+2^2.5\right)}{2^3.5^2}=2.5^2+2^2.5=50+20=70\)
Bài 1.Tính hợp lý
a) \(\text{(0,5)}^3\) .\(2^3\)
b) \(\text{(0,25)}^2\).16
c) \(\left(\dfrac{3}{5}\right)^3:\left(\dfrac{-27}{1000}\right)\)
d) \(\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
e) \(\dfrac{4^5.21+4^5.19}{2^{10}.11+2^{10}.5}\)
a: \(\left(0.5\right)^3\cdot2^3=1\)
b: \(\left(0.25\right)^2\cdot16=1\)
c: \(\left(\dfrac{3}{5}\right)^3:\left(-\dfrac{27}{1000}\right)=\dfrac{3^3}{5^3}\cdot\dfrac{-1000}{27}=\dfrac{-1000}{125}=-8\)
\(\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
=\(\dfrac{\left(2^2\right)^2.\left(5^2\right)^2+2^5.5^2}{2^3.5^2}\)
=\(\dfrac{2^4.5^4+2^5.5^2}{2^3.5^2}\)
=\(\dfrac{2^3.\left(2.5^4+2^2.5^2\right)}{2^3.5^2}\)
=\(\dfrac{5^2.\left(2.5^2+2^2\right)}{5^2}\)
=\(2.5^2+2^2=54\)
\(\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
\(\dfrac{4^2.25^2+32.125}{2^3.5^2}=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}=\dfrac{2^3.5^2\left(2.5^2+2^2.5\right)}{2^3.5^2}\)
\(=2.5^2+2^2.5=2.25+4.5=50+20=70\)
tính hợp lý
B=\(\frac{4^2.25^2+32.125}{2^3.5^2}\)
Trả lời :
\(B=\frac{4^2\cdot25^2+32\cdot125}{2^3\cdot5^2}=\frac{\left(2^2\right)^2\cdot\left(5^2\right)^2+2^5\cdot5^3}{2^3\cdot5^2}=\frac{2^4\cdot5^4+2^5\cdot5^3}{2^3\cdot5^2}=\frac{2^3\cdot5^2\left(2\cdot5^2+2^3\cdot5\right)}{2^3\cdot5^2}\)
\(=2\cdot5^2+2^3\cdot5=2\cdot25+8\cdot5=50+40=90\)
\(B=\frac{4^2\cdot25^2+32\cdot125}{2^3\cdot5^2}\)
\(B=\frac{2^4\cdot5^4+2^5\cdot5^3}{2^3\cdot5^2}\)
\(B=\frac{2^4\cdot5^3\left(5+2\right)}{2^3\cdot5^2}\)
\(B=\frac{2^4\cdot5^3\cdot7}{2^3\cdot5^2}\)
B = 2 . 5 . 7
B = 70
Không chắc =))
\(B=\frac{4^2\cdot25^2+32\cdot125}{2^3\cdot5^2}\)
\(\Rightarrow B=\frac{\left(2^2\right)^2\cdot\left(5^2\right)^2+2^5\cdot5^3}{2^3\cdot5^2}\)
\(\Rightarrow B=\frac{2^4\cdot5^4+2^5\cdot5^3}{2^3\cdot5^2}\)
\(\Rightarrow B=\frac{2^3\cdot5^2\cdot\left(2\cdot5^2+2^2\cdot5\right)}{2^3\cdot5^2}\)
\(\Rightarrow B=2\cdot5^2+2^2\cdot5\)
\(\Rightarrow B=2\cdot25+4\cdot5\)
\(\Rightarrow B=50+20\)
\(\Rightarrow B=70\)
Tính 4^2.25^2+32.125/2^3.5^2
\(\dfrac{4^2.25^2+32.125}{2^3.5^2}=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}=\dfrac{2^4.5^3\left(5+2\right)}{2^3.5^2}=2.5\left(5+2\right)=10.7=70\)
rut gon bieu thuc sau : 4^2.25^2+32.125/2^3.5^2
Tính:
A=\(\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
B=\(\dfrac{4^6.9^5+6^4.120}{8^4.3^{12}-6^{11}}\)
\(A=\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
\(A=\dfrac{\left(2^2\right)^2.\left(5^2\right)^2+2^5.5^3}{2^3.5^2}\)
\(A=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}\)
\(A=\dfrac{2^4.2^5+5^4.5^3}{2^3.5^2}\)
\(A=\dfrac{2^{4+5}+5^{4+3}}{2^3.5^2}\)
\(A=\dfrac{2^9.5^7}{2^3.5^2}=2^6.5^5\)
\(\frac{4^2.25^2+32.125}{2^3.5^2}\)
Làm
\(\frac{4^2.25^2+32.125}{2^3.5^2}=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}=\frac{2^4.5^3\left(5+2\right)}{2^3.5^2}=2.5.7=70\)