Question

(2^17×5^17) ^11:100^93:10

urgent! dau coroana​

Answer 1

Răspuns: 1

Explicație pas cu pas:

Salutare !

$\bf(2^{17}\cdot5^{17})^{11}:100^{93}:10=$

$\bf[(2\cdot5)^{17}]^{11}:100^{93}:10^{1}=$

$\bf(10^{17})^{11}:(10^{2})^{93}:10^{1}=$

$\bf(10^{17})^{11}:10^{2\cdot93}:10^{1}=$

$\bf 10^{17\cdot11}:10^{186}:10^{1}=$

$\bf 10^{187}:10^{186}:10^{1}=$

$\bf 10^{187-186-1}=$

$\bf 10^{0}=$

$\boxed{\bf 1}$

Am folosit următoarele formule pentru puteri

a⁰ = 1 sau 1 = a⁰

(aⁿ)ᵇ = aⁿ ˣ ᵇ sau aⁿ ˣ ᵇ = (aⁿ) ᵇ

aⁿ · aᵇ = (a · a) ⁿ ⁺ ᵇ  sau  (a · a) ⁿ ⁺ ᵇ = aⁿ · aᵇ

aⁿ : aᵇ = (a : a) ⁿ ⁻ ᵇ sau (a : a) ⁿ ⁻ ᵇ = aⁿ : aᵇ

aⁿ · bⁿ = (a · b)ⁿ sau (a · b)ⁿ = aⁿ · bⁿ

aⁿ : bⁿ = (a : b)ⁿ sau (a : b)ⁿ = aⁿ : bⁿ

==pav38==

Answer 2

(2¹⁷×5¹⁷)¹¹:100⁹³:10=

(10¹⁷)¹¹:(10²)⁹³:10=

10¹⁸⁷:10¹⁸⁶:10¹=1