\(\dfrac{75.5^4+175.5^4}{20.25.125-625.75}\)

\(=\dfrac{5^4\left(175+75\right)}{4.5.5^2.5^3-5^4.5^2.3}=\dfrac{5^4.225}{4.5^6-3.5^6}\)

\(=\dfrac{5^4.225}{4.5^6-3.5^6}=\dfrac{5^4.15^2}{5^6\left(4-3\right)}=\dfrac{5^4.\left(5.3\right)^2}{5^6}=\dfrac{5^4.5^2.3^2}{5^6}=\dfrac{5^6.3^2}{5^6}=9\)

a) \(\left(20.2^4+12.2^4-48.2^2\right):8^2\)

\(=\left(20.2^4+12.2^4-12.2^4\right):8^2\)

\(=2^4.\left(20+12-12\right):8^2\)

\(=16.20:64\)

\(=5\)

=5⁴ . (75+175) ÷ 15625

=5^{4 .} .250 ÷ 5⁶

=(5⁴ ÷5⁶) . 250

=0,04 . 250

=10

\(a.\)\(\left(20.2^4+12.2^4-48.2^2\right):8^2\)

\(=\left(20.2^4+12.2^4-12.2^4\right):8^2\)

\(=2^4.\left(20+12-12\right):64\)

\(=2^4.20:64\)

\(=5\)

\(b.\)\(\left(75.5^4+175.5^4\right):\left(20.25.125-625.75\right)\)

\(=5^4.\left(75+175\right):\left(5.4.5^2.5^3-5^4.3.5^2\right)\)

\(=5^4.\left(75+175\right):\left(4.5^2.5^4-5^4.5^2.3\right)\)

\(=5^4.250:5^2.5^4.\left(4-3\right)\)

\(=5^4.2.5^3:5^2.5^4.1\)

\(=\frac{5^4.2.5^3}{5^2.5^4}=\frac{2.5}{1}=10\)

~ Rất vui vì giúp đc bn ~

\(\)

a: =5+48=53

a) \(\left(2^3.9^4+9^3.45\right):\left(9^2.10-9^2\right)\)

   =\(\left(2^3.9^4+9^3.9.5\right):9^2\left(10-1\right)\)

   = \(\left(8-9^4+9^4.5\right):9^2.9\)

   =\(9^4\left(8-5\right):9^3\)

   =\(9^4.3:9^3\)

   =\(9^4:9^3.3\)

   =\(9.3\)

   =\(27\)