Question

a) $\frac{4^2{.4}^3}{2^{10}}$

b) $\frac{(0,6{)}^5}{(0,2{)}^6}$

c)$\frac{2^7.9^3}{6^5{.8}^2}$

d) $\frac{6^3+{3.6}^2+3^3}{-13}$

Answer 1

a,\(\dfrac{4^2.4^3}{2^{10}}=\dfrac{\left(2^2\right)^2.\left(2^2\right)^3}{2^{10}}=\dfrac{2^4.2^6}{2^{10}}=\dfrac{2^{10}}{2^{10}}=1\)

Mấy cái kia mình không nhìn rõ!!!

Answer 2

a) \(\dfrac{4^2.4^3}{2^{10}}=\dfrac{\left(2^2\right)^2.\left(2^2\right)^3}{2^{10}}=\dfrac{2^4.2^6}{2^{10}}=\dfrac{2^{10}}{2^{10}}=1\)

b) \(\dfrac{\left(0,6\right)^5}{\left(0,2\right)^6}=\dfrac{\left(0,2\right)^5.3^5}{\left(0,2\right)^6}=\dfrac{3^5}{0,2}=1215\)

c) \(\dfrac{2^7.9^3}{6^5.8^2}=\dfrac{2^7.\left(3^2\right)^3}{2^5.3^5.\left(2^3\right)^2}=\dfrac{2^7.3^6}{2^5.3^5.2^6}=\dfrac{2^7.3^6}{2^{11}.3^5}=\dfrac{3}{2^4}=\dfrac{3}{16}\)

d) \(\dfrac{6^3+3.6^2+3^3}{-13}=\dfrac{2^3.3^3+2^2.3^3+3^3}{-13}=\dfrac{3^3\left(2^3+2^2+1\right)}{-13}=\dfrac{3^3.13}{-13}=-\left(3^3\right)=-27\)