Question

calculați a) 2⁷×2⁸-2¹⁵ , b) 3¹⁰-3×3³×3⁶,c) 5²⁰÷5¹⁸-3¹²÷3¹⁰,d) 7¹⁵÷7¹⁴+2²⁹÷2²⁵, e) 2³⁰÷(2⁸×2²⁰)-2⁴⁰÷2³⁸ , f) 2¹⁵÷2¹²+3¹⁶÷3¹⁴+5¹⁷÷5¹⁶​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

2⁷*2⁸-2¹⁵=2¹⁵-2¹⁵=0

b)

3¹⁰-3*3³*3⁶=3¹⁰-3¹⁰=0

c)

5²⁰:5¹⁸-3¹²:3¹⁰=5²-3²=25-9=16

d)

7¹⁵:7¹⁴+2²⁹:2²⁵=7+2⁴=7+16=23

e)

2³⁰:( 2⁸*2²⁰-2⁴⁰:2³⁸=2³⁰:2²⁸-2²=2²-2²=4-4=0

f)

2¹⁵:2¹²+3¹⁶:3¹⁴+5¹⁷:5¹⁶= 2³+3²+5=8+9+5=17+5=22

Answer 2

a)$2⁷×2⁸-2¹⁵ =$

$= {2}^{15} - {2}^{15}\\= 0$

b)

$3¹⁰-3×3³×3⁶ = \\={3}^{10} - {3}^{10} \\ = 0$

c)

$5²⁰÷5¹⁸-3¹²÷3¹⁰ = \\ = {5}^{2} - {3}^{2} \\ = 25 - 9 \\ = 16$

d)

$7¹⁵÷7¹⁴+2²⁹÷2²⁵ = \\ = 7 + {2}^{4} \\ = 7 + 16 \\ = 23$

e)

$2³⁰÷(2⁸×2²⁰)-2⁴⁰÷2³⁸ = \\ = {2}^{30} \div {2}^{28} - {2}^{2} \\ = {2}^{2} - {2}^{2} \\ = 0$

f)

$2¹⁵÷2¹²+3¹⁶÷3¹⁴+5¹⁷÷5¹⁶ = \\ = {2}^{3} + {3}^{2} + 5 \\ = 8 + 9 + 5 \\ = 22$