Question

a)5³= b)0,2⁴= c)2,3²= d)0,(7)³= e)(3/4)⁴= f)(1/8)³=​

Answer 1

Răspuns:

a) 5³=125

b) 0,2⁴=1/5⁴=1/625=0,0016

c)2,3²=(23/10)²=529/100=5,29

d)0,(7)³=(7/9)³=7³/9³=343/729=0,470

e) (3/4⁴)=3⁴/4⁴=81/256=0,3164

f) (1/8)³=1³/8³=1/512 =0,0019

Answer 2

Explicație pas cu pas:

Pct a)

5³=(5*5)*5=25*5=125

Pct b)

0.2⁴=(0.2*0.2)*(0.2*0.2)=0.04*0.04=0.0016

sau

0.2⁴=(2/10)⁴=(1/5)⁴=(1/5*1/5)*(1/5*1/5)=1/25*1/25=1/625=0.0016

sau

0.2⁴=(2/10)⁴=(1/5)⁴=1⁴/5⁴=1/[(5*5)*(5*5)]=1/(25*25)=1/625=0.0016

Pct c)

2.3²=2.3*2.3=5.29

sau

2.3²=(23/10)²=23/10*23/10=529/100=5.29

sau

2.3²=(23/10)²=23²/10²=(23*23)/(10*10)=529/100=5.29

Pct d)

0.(7)³=(7/9*7/9)*7/9=49/81*7/9=343/729

sau

0.(7)³=(7/9)³=7³/9³=[(7*7)*7]/[(9*9)*9]=(49*7)/(81*9)=343/729

Pct e)

(3/4)⁴=(3/4*3/4)*(3/4*3/4)=9/16*9/16=81/256

sau

(3/4)⁴=3⁴/4⁴=(3*3)*(3*3)/(4*4)*(4*4)=(9*9)/(16*16)=81/256

Pct f)

(1/8)³=(1/8*1/8)*1/8=1/16*1/8=1/512

sau

(1/8)³=1³/8³=1/[(8*8)*8]=1/(64*8)=1/512