The answer is C and here are the steps
The equation seems to be
1
-------- = 5 ^ (x + 4)
25
In that case, this is the solution, stept by step:
1) factor 25: 25 = 5^2
1
=> ----------- = 5^(x + 4)
5^2
2) invert 5^2
=> 5^(-2) = 5^(x+4)
3) Given that the bases are equal, the exponents also have to be equal:
=> - 2 = x + 4
3) transpose +4:
=> - 2 - 4 = x
=> x = - 6
Answer: - 6
I don’t think this question can be solved without the measurements of the box. If you could re-upload this question with a picture of the box or with the measurements that would be great :)
Answer:
214....
Step-by-step explanation:
If the question is : solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to minus 3 by 4 + 2 by 243 raise to minus 1 by 5
The given expression can be written as:
4/(216)-2/3+1/(256)-3/4+2/(243)-1/5
This expression has three terms.
Notice that the exponents are negative:
We will change the division into multiplication so that the exponents will become positive;
4*(216)^2/3+ 1*(256)^3/4+ 2*(243)^1/5
If we multiply 6 three times it will give us 6^3=6*6*6=216
If we multiply 4 four times it will give us 4^4=4*4*4*4=256
If we multiply 3 five times it will give us 3^5=3*3*3*3*3=243
So we will write it as:
=4*(6^3)^2/3+ 1(4^4)3/4 +2(3^5)^1/5
=4(6)^2+(4)^3+2(3)
=4*36+64+6
=144+64+6
=214
The answer is 214....
