Question

${3}^{x - 2} \div {3}^{ - 3} = {3}^{4}$
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Answer 1

Step-by-step explanation:

3^(x-2)÷3^-3=3^4

=> 3^(x-2+3)=3^4

=> x-2+3=4

=> x+1=4

=> x=4-1

=> x=3

Answer 2

Answer:

${3}^{x - 2} \div {3}^{ - 3} = {3}^{4}$

we know that

${a}^{m} \div {a}^{n} = {a}^{m - n}$

${3}^{x - 2 - ( - 3)} = {3}^{4} \\ {3}^{x - 2 + 3} = {3}^{4}$

${3}^{x + 1} = {3}^{4}$

comparing the powers of both side

x+1=4

x=4-1

x=3