Answer:
343
Step-by-step explanation:
In the top, let's first solve the subtraction expression within the parentheses:
12 - 5 = 7
So, the numerator is [tex]7^7[/tex].
Now solve the addition expression within the parentheses in the denominator:
3 + 4 = 7
So, the denominator is [tex](7^2)^2[/tex].
Remember the exponent rule, where if we have [tex](a^b)^c[/tex], then it is equal to [tex]a^{b*c}=a^{bc}[/tex].
So, [tex](7^2)^2=7^{2*2}=7^4[/tex].
Now, our expression is: [tex]\frac{7^7}{7^4}[/tex].
Remember another exponent rule where if we have [tex]\frac{a^b}{a^c}[/tex], this is equal to [tex]a^{b-c}[/tex].
So, [tex]\frac{7^7}{7^4}=7^{7-4}=7^3=343[/tex].
The answer is thus 343.
~ an aesthetics lover
