Simplify
12(6^/(5^-4^) + 7
My thoughts
12(36/(5^-4^) + 7
12(36/9) + 7
12 (4) + 7
12 * 11
132
Your notation is weird.
5^-4 = 1/5^4 = 1/625
No idea what 5^-4^ means, or 6^/...
^ means squared and is the way we have been taught to show it.
So the 1st part of your question reads
5 squared - 4 squared
2nd part is
6 squared divided by
To simplify the expression 12(6^(5^(-4^))) + 7, you correctly started by replacing the exponent 6^ with its value, which is 36. So the expression becomes:
12(36/(5^-4^)) + 7
Next, you correctly simplified the negative exponent 5^-4^ by flipping the fraction to eliminate the negative exponent. The reciprocal of 5^-4^ is 1/(5^4^), which means that the expression now looks like this:
12(36/(1/(5^4^))) + 7
Simplifying further, you correctly calculated 5^4^, which is equal to 625. So the expression becomes:
12(36/(1/625)) + 7
To simplify the term 36/(1/625), you need to divide 36 by the reciprocal of 1/625, which is just 625. So:
36 / (1/625) = 36 * 625 = 22500
Now the expression looks like this:
12(22500) + 7
Finally, you correctly multiplied 12 by 22500, which equals 270000. Adding the 7, the final answer is:
270000 + 7 = 270007