Question

As fi recunoscator daca m-ar putea ajuat cnv cu problema 7. Multumesc! Dau si coronita​​

Answer 1

$\bf (-2)^{100}:[8^{30}:2^{4}+(-10+8)^{36}\cdot 2^{2^{4}}\cdot(-2)^{34}]=$

$\bf 2^{100}:[(2^{3})^{30}:2^{4}+(-2)^{36}\cdot 2^{16}\cdot2^{34}]=$

$\bf 2^{100}:(2^{3\cdot30}:2^{4}+2^{36}\cdot 2^{16}\cdot2^{34})=$

$\bf 2^{100}:(2^{90}:2^{4}+2^{36+16+34})=$

$\bf 2^{100}:(2^{90-4}+2^{86})=$

$\bf 2^{100}:(2^{86}+2^{86})=$

$\bf 2^{100}:(2\cdot 2^{86})=$

$\bf 2^{100}:2^{1+86}=$

$\bf 2^{100}:2^{87}=$

$\bf 2^{100-87}=$

$\boxed{\bf 2^{13}}$

Cateva formule pentru puteri

(- a)ⁿ,unde n este o putere impara (-a)ⁿ=(-a)ⁿ

(- a)ⁿ,unde n este o putere para (-a)ⁿ = aⁿ

(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

a⁰ = 1 sau 1 = a⁰