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\(\left(5^7+5^9\right)\left(6^8+6^{10}\right)\left(2^4-4^2\right)=\left(5^7+5^9\right)\left(6^8+6^{10}\right)\left(16-16\right)=0\)
\(\left(7^3+7^5\right)\left(5^4+5^6\right)\left(3^3.3-9^2\right)=\left(7^3+7^5\right)\left(5^4+5^6\right)\left[3^4-\left(3^2\right)^2\right]\)
\(=\left(7^3+7^5\right)\left(5^4+5^6\right)\left(3^4-3^4\right)=0\)
\(A=\left(2^6+3^7\right)\left(4^8+5^9\right)\left(9^4-3^8\right)\left(10^6-7^5\right)\)
\(A=\left(2^6+3^7\right)\left(4^8+5^9\right)\left(10^6-7^5\right)\left[\left(3^2\right)^4-3^8\right]\)
\(A=\left(2^6+3^7\right)\left(4^8+5^9\right)\left(10^6-5^7\right)\left(3^8-3^8\right)\)
\(A=\left(2^6+3^7\right)\left(4^8+5^9\right)\left(10^6-5^7\right).0\)
\(A=0\)
a) có đáp án lần lượt là: 2;4;8;16;32;64;128;256;512;1024
b) 9;27;81;243;729;2187
c) 16;64;256,1024;16384
d) 25;125;625;3125
e) 36;216;1296
\(\left(\frac{3}{7}+\frac{1}{2}\right)^2=\left(\frac{13}{14}\right)^2=\frac{169}{196}\)
\(\frac{5^4\cdot20^4}{25^5\cdot4^5}=\frac{5^4\cdot4^4\cdot5^4}{5^5\cdot5^5.4^5}=\frac{1}{100}\)
\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^6=\left(\frac{3}{7}\right)^{21}:\left[\left(\frac{3}{7}\right)^2\right]^6=\left(\frac{3}{7}\right)^{21}:\left(\frac{3}{7}\right)^{12}=\left(\frac{3}{7}\right)^9\)
\(3-\left(-\frac{6}{7}\right)^0+\left(\frac{1}{2}\right)^2:2\)
\(=3-1+\frac{1}{4}:2=3-1+\frac{1}{8}=\frac{17}{8}\)
(-2)3 . (\(\frac{3}{4}\) - 0,25) : (\(\frac{9}{4}-\frac{7}{6}\))
= -8 . \(\frac{1}{2}\) : \(\frac{13}{12}\)
= -4 : \(\frac{13}{12}\)
= \(-\frac{48}{13}\)
= -8 . 1/5 : 13/12 = -8/5 : 13/12 = -96/65