Doprowadź wyrażenia do najprostrzej postaci , zakładając że podstawy potęg są różne od zera :
a) [x do potęgi3 * (x do potęgi 6 : x do potęgi 3)] : [ x do potęgi 8 : ( x do potęgi 2 * x do potęgi 3)] =
b) [p do potęgi 13 : ( p do potęgi 14 : p do potęgi 8)] * [ p do potęgi 5 : ( p do potęgi 7 : p do potęgi 4 )] =
c) [ m do potęgi 8 : (m do potęgi 4 : m)] : [ m do potęgi 9 : ( m do potęgi 3 * m )] =
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a)=![[x^{3}*x^{3}]:[x^{8}:x^{6}]=x^{6}:x^{2}=x^{4} [x^{3}*x^{3}]:[x^{8}:x^{6}]=x^{6}:x^{2}=x^{4}](https://tex.z-dn.net/?f=%5Bx%5E%7B3%7D%2Ax%5E%7B3%7D%5D%3A%5Bx%5E%7B8%7D%3Ax%5E%7B6%7D%5D%3Dx%5E%7B6%7D%3Ax%5E%7B2%7D%3Dx%5E%7B4%7D)
b)=![[p^{13}:p^{6}]*[p^{5}:p^{3}]=p^{7}*p^{2}=p^{9} [p^{13}:p^{6}]*[p^{5}:p^{3}]=p^{7}*p^{2}=p^{9}](https://tex.z-dn.net/?f=%5Bp%5E%7B13%7D%3Ap%5E%7B6%7D%5D%2A%5Bp%5E%7B5%7D%3Ap%5E%7B3%7D%5D%3Dp%5E%7B7%7D%2Ap%5E%7B2%7D%3Dp%5E%7B9%7D)
c)=![[m^{8}:m^{3}]:[m^{9}:m^{4}]=m^{5}:m^{5{}=0 [m^{8}:m^{3}]:[m^{9}:m^{4}]=m^{5}:m^{5{}=0](https://tex.z-dn.net/?f=%5Bm%5E%7B8%7D%3Am%5E%7B3%7D%5D%3A%5Bm%5E%7B9%7D%3Am%5E%7B4%7D%5D%3Dm%5E%7B5%7D%3Am%5E%7B5%7B%7D%3D0)