Question

calculati a=[a⁵*a⁷+(a¹)²⁰]⁰:[(a²)⁴:(a⁴)²]​

Answer 1

Răspuns:

Explicație pas cu pas:

a=[a⁵*a⁷+(a¹)²⁰]⁰:[(a²)⁴:(a⁴)²]​=

( prima paranteza patrata = 1 , fiindca orice numar la puterea 0 = 1)

a = 1 : [a^8 : a^8]

a = 1 : 1

a = 1

Answer 2

Răspuns: 1 => rezultatul

Explicație pas cu pas:

$a = [ {a}^{5} \times {a}^{7} + ({a}^{1} )^{20}]^{0} \div [( {a}^{2}) ^{4} \div ( {a}^{4})^{2} ] \\ a = ( {a}^{5 + 7} + {a}^{1 \times 20} ) ^{0} \div ( {a}^{2 \times 4} \div {a}^{4 \times 2} ) \\ a = ( {a}^{12} + {a}^{20} )^{0} \div ( {a}^{8} \div {a}^{8} ) \\ a = 1 \div 1 \\ \boxed{a = 1}$

Formule aplicate

${a}^{m} \times {a}^{n} = {a}^{m + n} \\ ( {a}^{m} ) ^{n} = {a}^{m \times n} \\ {a}^{0} = 1</strong><strong>,</strong><strong> </strong><strong>a \not = 0 \\ {a}^{m} \div {a}^{m} = 1$