Question

simplifica fracția 7¹⁰+2×7¹¹+3×7¹² pe 12×7¹⁰​

Answer 1

Răspuns:

(7¹⁰+2×7¹¹+3×7¹²) /(12×7¹⁰​)=

[7¹⁰(1+2×7+3×7²)]/(12×7¹⁰)=

(7¹⁰×162)/(12×7¹⁰)=

27/2

Answer 2

Răspuns:

$\frac{7 {}^{10} + 2 \times 7 {}^{11} + 3 \times 7 {}^{12} }{12 \times 7 {}^{10} } \\ \\ = \frac{7 {}^{10} + 2 \times 7 \times 7 {}^{10} + 3 \times 7 {}^{2} \times 7 {}^{10} }{12 \times 7 {}^{10} } \\ \\ = \frac{(1 + 2 \times 7 + 3 \times 7 {}^{2}) \times 7 {}^{10} }{12 \times 7 {}^{10} } \\ \\ = \frac{(1 + 14 + 3 \times 49) \times 7 {}^{10} }{12 \times 7 {}^{10} } \\ \\ = \frac{1 + 14 + 147}{12} \\ \\ = \frac{162 { {}^{} }^{(6} }{12} \\ \\ = \bf\blue{\boxed{ \frac{27}{2} }}$