PIERWIASTKI. Oblicz.
a)
b)
c)
(1/3)⁻²-(-3/7)°*36*(√16)⁻¹ = 3²-1*36*4⁻¹ = 9-1*36*1/4 = 9-36/4 = 9-9=0
1/2⁻¹+(1/5)⁻¹+(1/27)⁻¹:(1/3)⁻²
___________________________ =
3*(√2/3)⁻²+(2/9)⁻¹+(-3)⁰
2+5+27:9
_________________ =
3*(1/ √2/3)²+9/2+1
7+3
_______________ =
3*(1/ 2/3)+9/2+1
10
___________ =
3*3/2+9/2+1
_________ =10/10= 1
9/2+9/2+1
√19 i 3/5:√0,064:√0,16 * ∛20 i 1/4:∛108:∛0,125=
√98/5:√0,064:√0,16 * ∛80/4:∛108:∛0,125=
√98/5: √0,064:0,4 * ∛80/4: ∛108:0,5=
√98/5: √0,16 * ∛80/4: ∛216=
√98/5:0,4 * ∛80/4: 6=
√49 * ∛80/24=
7*∛8/8*10/3=
7* 2/2∛10/3=
7 ∛3 całe i 1/3
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a)
(1/3)⁻²-(-3/7)°*36*(√16)⁻¹ = 3²-1*36*4⁻¹ = 9-1*36*1/4 = 9-36/4 = 9-9=0
b)
1/2⁻¹+(1/5)⁻¹+(1/27)⁻¹:(1/3)⁻²
___________________________ =
3*(√2/3)⁻²+(2/9)⁻¹+(-3)⁰
2+5+27:9
_________________ =
3*(1/ √2/3)²+9/2+1
7+3
_______________ =
3*(1/ 2/3)+9/2+1
10
___________ =
3*3/2+9/2+1
10
_________ =10/10= 1
9/2+9/2+1
c)
√19 i 3/5:√0,064:√0,16 * ∛20 i 1/4:∛108:∛0,125=
√98/5:√0,064:√0,16 * ∛80/4:∛108:∛0,125=
√98/5: √0,064:0,4 * ∛80/4: ∛108:0,5=
√98/5: √0,16 * ∛80/4: ∛216=
√98/5:0,4 * ∛80/4: 6=
√49 * ∛80/24=
7*∛8/8*10/3=
7* 2/2∛10/3=
7 ∛3 całe i 1/3