Question

Va rog sa ma ajutati, X= (7^5)^8÷7^37= si Y=(2^7)^6:8^13= . Mulțumesc

Answer 1

Răspuns:

Explicație pas cu pas:

x = ( 7⁵)⁸ : 7³⁷

x = 7⁽⁵ˣ⁸⁾ ⁻ ³⁷

x = 7⁽⁴⁰⁻³⁷⁾

x = 7³

x = 343

__________________

y = (2⁷)⁶ : 8¹³

y = 2⁽⁷ˣ⁶⁾ : (2³)¹³

y = 2⁴² : 2⁽³ˣ¹³⁾

y = 2⁽⁴²⁻³⁹⁾

y = 2³

y = 8

Answer 2

Răspuns:

Explicație pas cu pas:

x=$( {7}^{5} )^{8} \div {7}^{37} =343 \\ {7}^{5 \times 8} \div {7}^{37} =343 \\ {7}^{40} \div {7}^{37} =343 \\ {7}^{40 - 37} =343 \\ {7}^{3} = 7 \times 7 \times 7 = 49 \times 7 = 343$

y=$( {2}^{7} )^{6} \div {8}^{13} = 8 \\ {2}^{7 \times 6} \div {8}^{13} = 8 \\ {2}^{42} \div {8}^{13 } = 8 \\ ({2}^{3} )^{42 \div 3 } \div {8}^{13} =8 \\ ( {2}^{3} ) ^{14} \div {8}^{13} = 8\\ {8}^{14} \div {8}^{13} =8 \\ {8}^{14 - 13} = {8}^{1} = 8$