Question

Help me solve this question pls

Answer 1

343

Explanation:

In the top, let's first solve the subtraction expression within the parentheses:

12 - 5 = 7

So, the numerator is
`7^7`.

Now solve the addition expression within the parentheses in the denominator:

3 + 4 = 7

So, the denominator is
`(7^2)^2`.

Remember the exponent rule, where if we have
`(a^b)^c`, then it is equal to
`a^(b*c)=a^(bc)`.

So,
`(7^2)^2=7^(2*2)=7^4`.

Now, our expression is:
`(7^7)/(7^4)`.

Remember another exponent rule where if we have
`(a^b)/(a^c)`, this is equal to
`a^(b-c)`.

So,
`(7^7)/(7^4)=7^(7-4)=7^3=343`.

The answer is thus 343.

~ an aesthetics lover