- #1
runicle
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I have the equation [(m^3)(n^-3)]^-1 over m^-5n
So far i got 1 over m^6n^6 divide by m^-5n...
Is it right or no?
So far i got 1 over m^6n^6 divide by m^-5n...
Is it right or no?
runicle said:I have the equation [(m^3)(n^-3)]^-1 over m^-5n
So far i got 1 over m^6n^6 divide by m^-5n...
Is it right or no?
runicle said:First off i went to the basics I multiplied (m^3)(n^-2) and got m^6n^6
No. There is no "base number" here anyway -- just the variables m and n.runicle said:So the exponent doesn't affect the base number
Nothing at all "happens" to the exponents -- the bases are different, and thus they are completely unrelated to each other.runicle said:Okay wait what happens to the exponents when its (m^3)(n^2)
runicle said:Nevermind i got it I'm simplifying it It's n^2m^5 over m^3n
The question was simplify [(m^3)(n^-3)]^-1 over m^-5n
runicle said:I got another question I have to factor 3x^2 -13x-10
So far i get this far
3x^2 -13x-10
3x^2+2x-15x-10
x(3x+2)-5(3x+2)
What do i do next...
No it isn't. It's an expression that need to be factored, not an equation!ksinclair13 said:Your final answer will be:
0 = (x - 5)(3x + 2)
VietDao29 said:No it isn't. It's an expression that need to be factored, not an equation!
To solve this equation, we first need to simplify the exponents. Using the rule (a^m)^n = a^(m*n), we can rewrite the equation as m^3n^3 / m^-5n. Then, using the rule a^m / a^n = a^(m-n), we can simplify further to m^3n^3 / m^-4. Finally, using the rule a^(m*n) = (a^m)^n, we can rewrite the equation as (m^3 / m^-4) * (n^3 / 1). From here, we can simplify the fractions and get m^7n^3 as our final answer.
When dealing with negative exponents, we use the rule a^-n = 1 / a^n. This means that any negative exponent in the denominator of a fraction will be flipped to the numerator and become positive.
No, we cannot cancel out the m's and n's in this equation. When simplifying fractions with exponents, we can only cancel out common factors that have the same base and exponent.
To check if your solution is correct, you can substitute the values of m and n into the original equation and see if it equals the same value as your solution. You can also use a calculator to simplify the original equation and compare it to your solution.
Yes, the order of the terms can be changed as long as the rules for simplifying exponents are followed. However, it is important to note that changing the order of the terms may result in a different solution.