\(A=\left(4^9\cdot36+64^4\right)\div\left(16^4\cdot100\right)\)

\(A=\left[4^9\cdot4\cdot9+\left(4^3\right)^4\right]\div\left[\left(4^2\right)^4\cdot25\cdot4\right]\)

\(A=\left(4^{10}\cdot9+4^{4\cdot3}\right)\div\left[4^{2\cdot4}\cdot25\cdot4\right]\)

\(A=\left(4^{10}\cdot9+4^{12}\right)\div\left(4^8\cdot25\cdot4\right)\)

\(A=\left(4^{10}\cdot9+4^{10}\cdot4^2\right)\div\left(4^8\cdot25\cdot4\right)\)

\(A=\left(4^{10}\cdot9+4^{10}\cdot16\right)\div\left(4^8\cdot25\cdot4\right)\)

\(A=4^{10}\cdot\left(9+16\right)\div\left(4^8\cdot25\cdot4\right)\)

\(A=4^{10}\cdot25\div\left(4^8\cdot25\cdot4\right)\)

\(A=\frac{4^{10}\cdot25}{4^8\cdot25\cdot4}\)

\(A=\frac{4^2\cdot1}{1\cdot1\cdot4}\)

\(A=4\)

\(B=72^3\cdot54^2\div108^4\)

Ta lần lượt phần tích \(72,54,108\) ra thừa số nguyên tố.

\(72=2^3\cdot3^2\).

\(54=2\cdot3^3\)

\(108=2^2\cdot3^3\)

\(\Rightarrow B=\left(2^3\cdot3^2\right)^3\cdot\left(2\cdot3^3\right)^2\div\left(2^2\cdot3^3\right)^4\)

\(B=\left(2^3\right)^3\cdot\left(3^2\right)^3\cdot2^2\cdot\left(3^3\right)^3\div\left[\left(2^2\right)^4\cdot\left(3^3\right)^4\right]\)

\(B=2^{3\cdot3}\cdot3^{2\cdot3}\cdot2^2\cdot3^{3\cdot2}\div\left(2^{2\cdot4}\cdot3^{3\cdot4}\right)\)

\(B=2^9\cdot3^6\cdot2^2\cdot3^6\div\left(2^8\cdot3^{12}\right)\)

\(B=\left(2^9\cdot2^2\div2^8\right)\cdot\left(3^6\cdot3^6\div3^{12}\right)\)

\(B=2^{9+2-8}\cdot3^{6+6-12}\)

\(B=2^3\cdot1\)

\(B=8\)

a.      64 x 4 + 18 x 4 + 9 x 8 

=    64 x 4 + 18 x 4 + 9 x 2 x 4

=  64 x 4 + 18 x 4 + 18 x 4

=  4 x (64 + 18 + 18)

= 4 x 100

= 400

\(\sqrt{64}-\sqrt{169}+\sqrt{9}=8-13+3=-2\)

\(4\sqrt{3}+\sqrt{27}-\sqrt{75}=4\sqrt{3}+3-5\sqrt{3}=\sqrt{3}\left(4+3-5\right)=2\sqrt{3}\)

ta có : \(\frac{4^{17}+64}{4^{16}+16}=\frac{2^{34}+2^6}{2^{32}+2^4}=\frac{2^6\left(2^{28}+1\right)}{2^4\left(2^{28}+1\right)}=2^2=4\)

Ta có: \(\frac{4^{17}+64}{4^{16}+16}\) = \(\frac{2^{34}+2^6}{2^{32}+2^4}\) = \(\frac{2^6\left(2^{28}+1\right)}{2^4\left(2^{28}+1\right)}\) = \(\frac{2^6}{2^4}\) = \(\frac{64}{16}\) = 4

( 4¹⁷ + 64 ) : ( 4¹⁶ + 16 )

= ( 4¹⁷ + 4³ ) : (4¹⁶ + 4²)

= 4²⁰ : 4¹⁸

= 4²

đổi 4² = 16

 Đáp số :.........

72 : (2 x 4) = 72 : 8 = 9

64 : (8 : 4) = 64 : 2 = 32

mik cũng hỏi giống bạn nè

   \(1-\frac{1}{2}-\frac{1}{4}-\frac{1}{8}-\frac{1}{16}-\frac{1}{32}\)\(-\frac{1}{64}\)

\(=1-\frac{32}{64}-\frac{16}{64}-\frac{8}{64}-\frac{4}{64}\)\(-\frac{2}{64}-\frac{1}{64}\)

  \(=1-\left(\frac{32}{64}-\frac{16}{64}-\frac{8}{64}-\frac{4}{64}-\frac{2}{64}-\frac{1}{64}\right)\)

\(=1-\frac{1}{64}\)

\(=\frac{64}{64}-\frac{1}{64}\)

\(=\frac{63}{64}\)

= 1/64 nha