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a fost răspuns

Efectuati:a)8^35:4^52+3^10*3^5:3^14;b)(3^100+2*3^99+3^98):(3^98*16)

Răspuns :

a)
8^35:4^52+3^10*3^5:3^14=
(2³)³⁵:(2²)⁵²+3¹⁰x3⁵:3¹⁴=
2¹⁰⁵:2¹⁰⁴+3¹⁰⁺⁵⁻¹⁴=
2¹⁰⁵⁻¹⁰⁴+3¹=
2¹+3¹=
2+3=
5

b)(3^100+2*3^99+3^98):(3^98*16)
(3¹⁰⁰+2x3⁹⁹+3⁹⁸):(3⁹⁸x16)=
[3⁹⁸(3²+2x3¹+1)]:(3⁹⁸x16)=
[3⁹⁸(9+6+1)]:(3⁹⁸x16)=
(3⁹⁸x16):(3⁹⁸x16)=
1

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