\(2^{16}.8^{10}.16^{11}\)

=\(2^{16}.2^{30}.2^{44}\)

=2^16+30+44

=2⁹⁰

ủa 11 dòng lận mà

\(\sqrt{5\sqrt{3+5\sqrt{48}-10\sqrt{7+4\sqrt{3}}}}\)

=\(\sqrt{5\sqrt{3+5\sqrt{48}-10\sqrt{4+2.2\sqrt{3+\left(\sqrt{3}\right)^2}}}}\)

=\(\sqrt{5\sqrt{3+5\sqrt{48-10.\sqrt{\left(2+\sqrt{3}\right)^2}}}}\)

=\(\sqrt{5\sqrt{3+5\sqrt{48-10.\sqrt{\left(2+\sqrt{3}\right)}}}}\)

=\(\sqrt{5\sqrt{3+5\sqrt{48-20+10}\sqrt{3}}}\)

=\(\sqrt{5\sqrt{3+5\sqrt{28+10}\sqrt{3}}}\)

=\(\sqrt{5\sqrt{3+5\sqrt{\left(\sqrt{3}\right)^2}+2.5.\sqrt{3}+5^2}}\)

=\(\sqrt{5\sqrt{3+5\sqrt{\left(\sqrt{3}+5\right)^2}}}\)

=\(\sqrt{5\sqrt{3+5\sqrt{\left(\sqrt{3}+5\right)}}}\)

=\(\sqrt{5\sqrt{3+5\sqrt{3+10}}}\)

=\(10\sqrt{3+10}\)

=\(\sqrt{10\left(\sqrt{3+1}\right)}\)

\(\dfrac{5}{36}:\dfrac{5}{23}=\dfrac{5}{36}\times\dfrac{23}{5}=\dfrac{115}{180}=\dfrac{23}{36}\)

chu vi hình tròn là P=\(\partial R\)\(\Pi\)=10

\(\dfrac{3\pi}{4}=135^o\Rightarrow\) độ dài của  \(\dfrac{3\pi}{4}\) là 10 : 360 x 135 = \(\dfrac{15}{4}\)

3(2²+1)(2⁴+1)(2⁸+1)(2¹⁶+1

=\(\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)

=\(\left(2^4-1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)

=\(\left(2^8-1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)

=\(\left(2^{16}-1\right)\left(2^{16}+1\right)\)

=\(2^{32}-1\)