Odpowiedź:
a. 6^7•6^0•6/6^6=6^8/6^6=6^2
b. 0,4^5•((0,4)^2)^3:0,4^4=0,4^5•0,4^6:0,4^4=
=0,4^11:0,4^4=0,4^7
c. (b^7)^2•b^0•b^14/b^10:b^3=b^14•b^14/b^7=
=b^28/b^7=b^21
d. (x^0)^8•(x^18)^0/((x^18)^2:x^18)^0=1•1/1=1
a)
[tex] \frac{ {6}^{7} \times {6}^{0} \times 6 }{ {6}^{6} } = \frac{ {6}^{8} }{ {6}^{6} } = {6}^{8 - 6} = {6}^{2} [/tex]
b)
[tex] {0.4}^{5} \times { ({(0.4)}^{2}) }^{3} \div {0.4}^{4} = {0.4}^{5} \times {0.4}^{6} \div {0.4}^{4} = {0.4}^{5 + 6 - 4} = {0.4}^{7} [/tex]
c)
[tex] \frac{ { {(b}^{7} )}^{2} \times {b}^{0} \times {b}^{14} }{ {b}^{10} \div {b}^{3} } = \frac{ {b}^{14} \times {b}^{14} }{ {b}^{7} } = {b}^{7 + 14} = {b}^{21} [/tex]
d)
[tex] \frac{ { {(x}^{0} )}^{8} \times { {(x}^{18}) }^{0} }{ {( {( {x}^{18}) }^{2} \div {x}^{18})}^{0} } = \frac{ {x}^{0} \times {x}^{0} }{ {( {x}^{36 - 18} })^{0} } = \frac{ {x}^{0} \times {x}^{0} }{ {x}^{0} } = {x}^{0} = 1[/tex]
