-2/3 (1/a)(b)(-1)
(125)^ =(125)^ =c
a=____
b=____
c=____
you want to try that again, so we can read it?
Don't put the exponents on a separate line, where they get jumbled up.
Does it start
125^(-1/3)?
If so, then since 125 = 5^3, that would be 1/5
Now clean things up and see what you can do.
sorry here it is again.
(125)^-2/3=(125)^(1/a)(b)(-1)=c
well, you have -2/3 = -b/a
so a = 3 and b = 2
Then, of course, c = 1/5^2 = 1/25
To find the values of a, b, and c, let's break down the given expression step by step:
Expression: (125)^(-2/3) * (1/a) * b * (-1)
Step 1: Simplify the exponent
The first part of the expression has an exponent of -2/3. To simplify this, we can rewrite it as the reciprocal of the cube root of 125 raised to the power of 2.
So, (125)^(-2/3) = 1 / (cube root of 125)^2
Step 2: Evaluate cube root of 125
The cube root of 125 is the number that, when raised to the power of 3, gives 125. In this case, the cube root of 125 is 5.
Therefore, (cube root of 125)^2 = 5^2 = 25
Step 3: Substitute the values back into the expression
Now that we have simplified the first part, we can substitute it back into the original expression:
1 / (cube root of 125)^2 * (1/a) * b * (-1)
= 1 / 25 * (1/a) * b * (-1)
Step 4: Simplify the expression further
To simplify the expression, we can multiply all the factors together:
1 / 25 * (1/a) * b * (-1)
= -b / (25a)
So, the final expression is -b / (25a).
Now that we have the simplified expression, we can determine the values of a, b, and c:
From the original expression:
a = 25
b = -1
c = -b / (25a)
Substituting the values we found, we get:
a = 25
b = -1
c = -(-1) / (25*25) = 1 / 625
Therefore, the values are:
a = 25
b = -1
c = 1/625