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Andre was trying to write 7^4/7^-3 with a single exponent and write 7^4/7^-3= 7^4-3=7^1 Exploit to Andre what his mistake was and what the answer should be...PLEASE THE ANSWER IS URGENT!!

Respuesta :

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

Here, we want to get what Andre's mistake was and correct it

To answer this, we are supposed to use the division law of indices

We have this as;

[tex]\frac{a^x}{a^y\text{ }}=a^{x-y}[/tex]

Now, in the case of this question, x is 4 and y is -3

So, we have the expression as;

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

His mistake is thus adding the exponents instead of subtracting

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