Oblicz.( 3/4)^4:( 9/25)^2+( 2/3)^8:( 4/9)^4------------------------------------------------- =( 2 1/.... Question from @lisek111

November 2018 1 52 Report

Oblicz.
( 3/4)^4:( 9/25)^2+( 2/3)^8:( 4/9)^4
------------------------------------------------- =
( 2 1/4)^4 x [( 2/3)^2]^4+9^5:( 3^2)^5

Doprowadź do najprostszej postaci.
(a^3)^8 x x(b^2)^12 x (c^40^6)
-------------------------------------------=
(a^4 b^4)^2

(a^3 x a^4 x a^2) x (a^3)^3
---------------------------------------=
(a^2)^9

Pomocy ! (Y) :)

Zgłoś nadużycie! $\frac{\left( \frac{3}{4} \right)^4:\left( \frac{9}{25} \right)^2+\left( \frac{2}{3} \right)^8:\left( \frac{4}{9} \right)^4 }{\left( 2 \frac{1}{4} \right)^4\cdot \left[ \left( \frac{2}{3} \right)^2 \right]^4+9^5:\left( 3^2\right)^5 }=\frac{\left( \frac{3}{4} \right)^4: \left[\left( \frac{3}{5} \right)^2 \right] ^2+\left( \frac{2}{3} \right)^8: \left[\left( \frac{2}{3} \right)^2 \right] ^4 }{\left( \frac{9}{4} \right)^4\cdot \left( \frac{2}{3} \right)^8+9^5:9^5 }=$

$\frac{\left( \frac{3}{4} \right)^4: \left( \frac{3}{5} \right)^4+\left( \frac{2}{3} \right)^8: \left( \frac{2}{3} \right)^8}{ \left[ \left( \frac{3}{2} \right)^2\right] ^4\cdot \left( \frac{2}{3} \right)^8+1}=\frac{\left( \frac{3}{4}: \frac{3}{5} \right)^4+1}{ \left( \frac{3}{2} \right)^8\cdot \left( \frac{2}{3} \right)^8+1}=$

$\frac{\left( \frac{3}{4}\cdot \frac{5}{3} \right)^4+1}{ \left( \frac{3}{2}\cdot \frac{2}{3} \right)^8+1}=\frac{\left( \frac{5}{4} \right)^4+1}{ 1^8+1}=\frac{\frac{625}{256}+1}{ 1+1}=\frac{\frac{881}{256}}{2}= \frac{881}{512}$

==========================

$\frac{(a^3)^8\cdot (b^2)^{12}\cdot ((c^4)^6)}{(a^4 b^4)^2}=\frac{a^{24}\cdot b^{24}\cdot c^{24}}{a^8b^8}=a^{16}b^{16}c^{24}$

$\frac{(a^3\cdot a^4\cdot a^2)\cdot (a^3)^3}{(a^2)^9}=\frac{a^9\cdot a^9}{a^{18}}= \frac{a^{18}}{a^{18}}=1$

2 votes Thanks 1