Question

ca rog doar c) si d), dau coroana ​

Answer 1

(5²)³=5⁶ //

$( {a}^{x} ) ^{y} = {a}^{x \times y}$

(5⁴*5³)²=(5⁷)²=5¹⁴

${a}^{x} \times {a}^{y} = {a}^{x + y}$

[(5⁴)³]²=(5¹²)²=5²⁴

(25²)³:(5¹⁰)=[(5²)²]³:(5¹⁰)=(5⁴)³:(5¹⁰)=5¹²:5¹⁰=5²

${a}^{x} \div {a}^{y} = {a}^{x - y}$

Answer 2

Explicație pas cu pas:

a)

${( {5}^{2} )}^{3} = {5}^{2 \cdot 3} = \bf {5}^{6}$

b)

${( {5}^{4} \cdot {5}^{3} )}^{2} = {( {5}^{4 + 3})}^{2} = {( {5}^{7})}^{2} = {5}^{7 \cdot 2} = \bf {5}^{14}$

c)

${\Big[ {\Big( {5}^{4} \Big)}^{3} \Big]}^{2} = {5}^{4 \cdot 3 \cdot 2} = \bf {5}^{24}$

d)

${( {25}^{2} )}^{3} : {5}^{10} = {( {( {5}^{2} )}^{2} )}^{3} : {5}^{10} = {5}^{2 \cdot 2 \cdot 3} : {5}^{10} = {5}^{12 - 10} = \bf {5}^{2}$