\(4.5^3-32.2^5=4.125-32.32=500-1024=-524\\ 5^6:5^4+3^2-2023^0=5^{6-4}+8-1=5^2+8-1=25+8-1=32\\ 105:\left(6.5-5^2\right)=105:\left(30-25\right)=105:5=21\\ 10^2+3^4-2^0=100+81-1=180\\ 20-\left[30-\left(6-1\right)^2\right]=20-\left[30-5^2\right]=20-\left[30-25\right]=20-5=15\\ 3^2.\left(7-6\right)^{10}-\left(2^4+3^2\right):5^2=9.1^{10}-\left(16+9\right):25=9.1-25:25=9-1=8\)
\(4\cdot 5^3 -32:2^5\\=4\cdot125-32:32\\=500-1\\=499\)
\(---\)
\(5^6:5^4+3^2-2023^0\\=5^2+9-1\\=25+8\\=33\)
\(---\)
\(105:(6\cdot5-5^2)\\=105:(30-25)\\=105:5\\=21\)
\(---\)
\(10^2+3^4-2^0\\=100+81-1\\=100+80\\=180\)
\(---\)
\(20-[30-(6-1)^2]\\=20-(30-5^2)\\=20-(30-25)\\=20-5\\=15\)
\(---\)
\(3^2\cdot(7-6)^{10}-(2^4+3^2):5^2\\=9\cdot1^{10}-(16+9):25\\=9-25:25\\=9-1\\=8\)
#\(Toru\)
\(4.5^3-32.2^5\)
\(=4.125-32.32\)
\(=500-1024\)
\(=\left(-524\right)\)
_______
\(5^6:5^4+3^2-2023^0\)
\(=5^2+9-1\)
\(=25+9-1\)
\(=34-1=33\)
_______
\(105:\left(6.5-5^2\right)\)
\(=105:\left(6.5-25\right)\)
\(=105:\left(30-25\right)\)
\(=105:5\)
\(=21\)
_______
\(10^2+3^4-2^0\)
\(=100+81-1\)
\(=181-1\)
\(=180\)
______
\(20-\left[30-\left(6-1\right)^2\right]\)
\(=20-\left[30-5^2\right]\)
\(=20-\left[30-25\right]\)
\(=20-5=15\)
_______
\(3^2:\left(7-6\right)^{10}-\left(2^4.3^2\right):5^2\)
\(=9:1^{10}-\left(16.9\right):25\)
\(=9:1-144:25\)
\(=9-\dfrac{144}{25}\)
\(=\dfrac{81}{25}\)
