Answer:
m= 1/2.
Step-by-step explanation:
To solve this, we must make the bases equivalent. We can do this by finding the common base which is 5.
We know that 125= 5³ and 25=5², which will help us in this equation. We can rewrite the equation substituting this for the original numbers:
Distribute the exponents to get:

Now, we can simply ignore the '5' and solve for 'm':
6m= 2m+2
4m= 2
m= 1/2.
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Answer:
230 - 151 + 180 + (43 - 12) = 290
Step-by-step explanation:
Use PEMDAS.
Evaluate the expression in the parentheses:
230 - 151 + 180 + (43 - 12)
43 - 12 = 31
230 - 151 + 180 + 31
Add and Subtract From Left to Right:
230 - 151 + 180 + 31
79 + 180 + 31
259 + 31
290
<em>None of the given options are correct. </em>
m^2 -11m -60 = 0
m^2 -11m =60
(m^2 -11m + 121/4) = 361/4
(m - 11/2)^2 = 361/4
m - 11/2 = + or - 19/2
m = 11/2 + 19/2, 11/2 - 19/2
m = 15, -4
---------------------------------------------------
m^2 -11m -60
(11 +- Square root (121 +240))/2
11/2 +- 19/2
m= 15, -4
----------------------------------------------------
m^2 -11m -60
(m - 15) (m + 4)
m = 15, -4
8 and 25 thats the answer