Przedstaw w postaci potęgi o podstawie 2
(14³÷7³)⁵×4=
przedstaw w postaci potęgi o podstawie 3
(33³÷11³)²÷27²=
(18²×81³)²÷(4×3¹⁵)²=
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1.
2.
3.
1.
(14^3 : 7^3)^5 x 4 =
= [(14/7)^3]^5 x 2^2 =
= (2^3)^5 x 2^2 =
= 2^15 x 2^2 =
= 2^17
2.
(33^3 : 11^3)^2 : 27^2 =
= [(33/11)^3]^2 : (3^3)^2 =
= (3^3)^2 : (3^3)^2 =
= 3^6 : 3^6 =
= 3^0
3.
(18^2 x 81^3)^2 : (4 x 3^15)^2 =
= [2 x (3^2)^2 x (3^4)^3)]^2 : (2^2 x 3^15)^2 =
= (2 x 3^4 x 3^12)^2 : (2^4 x 3^30) =
= (2 x 3^16)^2 : (2^4 x 3^30) =
= (2^4 x 3^32) : (2^4 x 3^30) =
= 3^32 : 3^30 =
= 3^2