Question

9 Scrie ca putere, folosind factorul comun, după model: Model: 25+ 6-2-2-2+6-2=2-(2+6)=2²-8=2²-2³ = 27 a) 7+6×7; b) 2×3¹⁴+25×3¹⁴ ● c) 3×5¹⁵+2×5¹⁵ d) 3⁶+ 18×3⁴; e) 3¹¹+6×3¹⁰, f) 5²-4-5²⁰.


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Peste câteva min incep orele!!!!!!!​

Answer 1

Răspuns:

a) 7 + 6 × 7 = 7 × 1 + 6 × 7 = 7 × ( 1 + 6 ) = 7 × 7 = 49

b) 2 × 3¹⁴ + 25 × 3¹⁴ = 3¹⁴ × ( 2 + 25 ) = 3¹⁴ × 27

c) 3 × 5¹⁵ + 2 × 5¹⁵ = 5¹⁵ × ( 3 + 2 ) = 5¹⁵ × 5

d) 3⁶ + 18 × 3⁴ = 3² × 3⁴ + 18 × 3⁴ =

= 3⁴ × ( 3² + 18 ) = 3⁴× ( 9+ 18)

= 3⁴ × 27

e) 3¹¹ + 6 × 3¹⁰ = 3¹ × 3¹⁰ + 6 × 3¹⁰

= 3¹⁰ × ( 3¹ + 6 )

= 3¹⁰× 9

Answer 2

Răspuns:

Explicație pas cu pas:

a)

= 7*(1+6)= 7*7=7²

b)

3¹⁴*(2+5²)=3*27=3¹⁴*3³=3¹⁷

c)

= 5¹⁵*( 3+2)=5¹⁵*5=5¹⁶

d)

=3⁴*(3²+18)=3⁴*(9+18)= 3⁴*27=3⁴*3³=3⁷

e)

=3¹⁰*(3+6)= 3¹⁰*9=3¹⁰*3²=3¹²