Respuesta :

Answer:

The answer is 7⁷ .

Step-by-step explanation:

Given that Indices Law is,

[tex] \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} [/tex]

So the correct working and steps are :

[tex] \frac{ {7}^{4} }{ {7}^{ - 3} } [/tex]

[tex] = {7}^{4 - ( - 3)} [/tex]

[tex] = {7}^{4 + 3} [/tex]

[tex] = {7}^{7} [/tex]

Andre make a mistake in,

[tex] {7}^{4 - 3} [/tex]

Answer:

He subtracted 3 from the exponent 4 instead of subtracting -3.

Step-by-step explanation:

Correct answer is 7^7:-

7^4 / 7^-3

= 7^(4 - (-3))

= 7^(4+3)

= 7^7.