Question

a) ((1/2^3))^-3:16^2

b) (1/64)^-3 x 8^-3/2^5

c) 25^-2/5^-4 - (3/5)^-6 x (5/3)^-7

d) (9/7)^-3: (3/7)^-3 x(1/6)^-6

e) (125/16)^-2 : (75/8)^-3

f) (54/35)^3 x (81/49)^-2 x (5/6)^3

plis jakby ktoś mógł szybko mi pomóc to byłabym wdzięczna. :)

Answer 1

a) [(1/2)^3]^-3:16^2=

=(1/8)^-3:256=

=8^3:256=

=512:256=

=2

 

b) (1/64)^-3 x 8^-3 / 2^5=

=64^3*(1/8)^3 / 32=

=262144*1/512 / 32=

=512/32=

=16

 

c) 25^-2 / 5^-4 - (3/5)^-6 x (5/3)^-7=

=(1/25)^2 / (1/5)^4*(5/3)^6*(3/7)^7=

=1/625 / 1/78125*15625/729*2187/3645=

=1/625 / 34171875/20594140625=

=1/625*207594140625/34171875=

=1/625*6075=

=6075/625=

=9,72

 

d) (9/7)^-3: (3/7)^-3 x(1/6)^-6=

=(7/9)^3:(7/3)^3*6^6=

=343/729:343/27*46656=

=343/729*27/343*46656=

=46656/27=

=1728

 

e) (125/16)^-2 : (75/8)^-3=

=(16/125)^2:(8/75)^3=

=256/15625:512/421875=

=256/15625*421875/512=

=27/2=

=13,5

 

f) (54/35)^3 x (81/49)^-2 x (5/6)^3=

=157464/42875*(49/81)^2*125/216=

=157464/42875*2401/6561*125/216=

=21609/343=

=63