Question

calculati: [1,75*10la2+(2,5)la2*100]:(0,4)la2

Answer 1

Explicație pas cu pas:

A) (-10)¹² :(100)⁵ + (-49)⁵ :343³ +(-10)²=

= (10)¹² :(10)¹⁰ + (-7²)⁵ :7⁹ +(-10)²=

= 10² - 7¹⁰ :7⁹ +(10)²=

=100+100-7=200-7=193

b) [ 5⁷• (-5)⁶ :(-5)¹²]¹⁰ :[(-5)²]³ -(-5)²=

= [ 5⁷• 5⁶ :5¹²]¹⁰ :(5²)³ -(5)²=

= (5¹³ :5¹²)¹⁰ :5⁶ -(5)²=

= 5¹⁰ :5⁶ -(5)²=

= 5⁴ -(5)²=5²(5²-1)=25×24=600

c) (2⁵) ⁴ :[2⁵ • (-2²)⁵] =

=2²⁰ :[2⁵ • (2¹⁰] =

=2²⁰ :2¹⁵=2⁵=32

d) 9¹² •(-3⁸) :[(-9³)² • 81]² :[(-5³ +2²)⁵]⁰=

= 3²⁴ •(3⁸) :[(-3⁶ • 3⁴]² :1=

= 3³² :(-3¹⁰)² =

= 3³² :3²⁰ =3¹²