What is the error with this work? What is the right answer?

Question

  3^4×3^3=9^7

Answer 1

3⁴ times 3³ = [3*3*3*3]*[3*3*3] = 3⁽⁴⁺³⁾ = 3⁷

 

When expanding is not cumbersome, just do it and reinforce the property used into your brain !

Answer 2

3^4*3^3=3^(3+4)=

3^4*3^3=3^7

the base does not change, so 9 is not the right base. Since you were multiplying using base 3, it remains base 3. 

Answer 3

When multiplying a base raised to a power such as  3^4 by the same base raised to a power like 3^3, keep the base the same and add the exponents. Correct answer is 3^7.