Zad. 16 str. 22 przykład c) i e) Matematy 3, Podręcznik dla gimnazjum. Matematyka z plusem
c)
(2/5)^7 *2,5^6 =(2/5)^7 *(25/10)^6 =(2/5)^7 *(5/2)^6 =(2/5)^7 *(2/5)^(-6) =
=(2/5)^1 =2/5 =0,4
e)
9^3 *4^4/6^10 =(3 *3)^3 *(2 *2)^4/(2 *3)10 =3^3 *3^3 *2^4 *2^4/2^10 *3^10 =
=3^6/3^10 * 2^8/2^10 =3^(-4) * 2^(-2) =(1/3)^4 * (1/2)^2 =1/81 *1/4 =1/324
Legenda:
^ - do potęgi
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c)
(2/5)^7 *2,5^6 =(2/5)^7 *(25/10)^6 =(2/5)^7 *(5/2)^6 =(2/5)^7 *(2/5)^(-6) =
=(2/5)^1 =2/5 =0,4
e)
9^3 *4^4/6^10 =(3 *3)^3 *(2 *2)^4/(2 *3)10 =3^3 *3^3 *2^4 *2^4/2^10 *3^10 =
=3^6/3^10 * 2^8/2^10 =3^(-4) * 2^(-2) =(1/3)^4 * (1/2)^2 =1/81 *1/4 =1/324
Legenda:
^ - do potęgi