Question

Scrie sub forma unei singure puteri cu exponent număr natural: a) 2⁸×3⁸
b)5³²×6³²
c)4¹⁰³×5¹⁰³
d)7⁵⁶×2⁵⁶
e)14³³×15³³
f)9²¹³×10²¹³
g)4⁵:2⁵
h)6¹¹:3¹¹
i)8²⁰¹:4²⁰¹
j)6¹³:2¹³
k)10¹¹:25¹¹
l)100¹⁰⁰:25¹⁰⁰
Ajută-mă te rogg
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Answer 1

Răspuns:

Salutare!

$\bf a) \: {2}^{8} \times {3}^{8} = ( {2 \times 3)}^{8} = \red{ \boxed{ {6}^{8} } }$

$\bf b) \: {5}^{32} \times {6}^{32} = {(5 \times 6)}^{32} = \blue{ \boxed{ {30}^{32} } }$

$\bf c) \: {4}^{103} \times {5}^{103} = {(4 \times 5)}^{103} = \green{ \boxed{ {20}^{103} } }$

$\bf d) \: {7}^{56} \times {2}^{56} = {(7 \times 2)}^{56} = \purple{ \boxed{ {14}^{56} } }$

$\bf e) \: {14}^{33} \times {15}^{33} = {(14 \times 15)}^{33} = \orange{ \boxed{ {210}^{33} } }$

$\bf f) \: {9}^{213} \times {10}^{213} = {(9 \times 10)}^{213} = \gray{ \boxed{ {90}^{213} } }$

$\bf g) \: {4}^{5} \div {2}^{5} = {(4 \div 2)}^{5} = \red{ \boxed{ {2}^{5} } }$

$\bf h) \: {6}^{11} \div {3}^{11} = {(6 \div 3)}^{11} = \blue{ \boxed{ {2}^{11} } }$

$\bf i) \: {8}^{201} \div {4}^{201} = {(8 \div 4)}^{201} = \green{ \boxed{ {2}^{201} } }$

$\bf j) \: {6}^{13} \div {2}^{13} = {(6 \div 2)}^{13} = \purple{ \boxed{ {3}^{13} } }$

$\bf k) \: {10}^{11} \div {25}^{11} = {(10 \div 25)}^{11} = \orange{ \boxed{ {0.4}^{11} } }$

$\bf l) \: {100}^{100} \div {25}^{100} = {(100 \div 25)}^{100} = \gray{ \boxed{ {4}^{100} } }$

❋ Formule folosite pentru efectuarea acestor calcule:

• $\red{ \boxed{ {a}^{m} \div {b}^{m} = {(a \div b)}^{m}}}$

• $\red{ \boxed{ {a}^{m} \times {b}^{m} = {(a \times b)}^{m}}}$

Answer 2

Răspuns:

Explicație pas cu pas: