Question

efectueaza (5⁷)⁶×5⁴:5⁴⁰-5⁴​

Answer 1

Răspuns: $\bf \green{\underline{15~000}}$

Explicație pas cu pas:

$\bf \big(5^7\big)^6\cdot 5^4:5^{40}-5^4=$

$\bf 5^{7\cdot6}\cdot 5^4:5^{40}-5^4=$

$\bf 5^{42}\cdot 5^4:5^{40}-5^4=$

$\bf 5^{42+4}:5^{40}-5^4=$

$\bf 5^{46}:5^{40}-5^4=$

$\bf 5^{46-40}-5^4=5^{6}-5^4=$

$\bf 5^{4}\cdot\big(5^{6-4}-5^{4-4}\big)=$

$\bf 5^{4}\cdot\big(5^{2}-5^{0}\big)= 5^{4}\cdot\big(5^{2}-1\big)=$

$\bf 5^{4}\cdot\big(25-1\big)=5^{4}\cdot24=$

$\bf 625\cdot24=\green{\underline{15~000}}$

$\red{\bf \underline{\star ~Formule~pentru~puteri}:}$

$\bf a^{0} = 1;$

$\bf (a^{n})^{m} = a^{n \cdot m};$

$\bf a^{n}\cdot a^{m} =a^{n+m};$

$\bf a^{n}: a^{m} =a^{n-m};$

==pav38==

Baftă multă !