How do I simplify this? I am struggling in math.š„
(-2mx^-3)^-4/8m^-5x^0
Please help me!
If the final power is a ZERO, then the entire expression is equal to 1 : )
No, only the 5x is raised to 0.
Can you help me?
the ^ means raised to the power...
So... I don't know what your question is supposed to read : (
Oh sorry.
It is -2mx raised to the power of -3 all raised to the power of -4 over or divided by 8m to the power of -5 times x to the 0 power.
Does that help? Thank you!
Is this the numerator (-2mx^-3)^-4 and this is the denominator 8m^-5x^0 ?
(-2)^-4 m^-4 x^(-3 times -4) so
1/16 1/m^4 x^12 or x^12/(16m^4) That is what I get from the numerator
From the denominator 8m^-5x^0 x to the zero power is 1
you have 8m^-5 if I am reading the notation correctly.
x^12/(16m^4)(8m^-5) so the numerator is x^12 and the denominator would simplify to 128m^-1. the final answer would be x^12 m^-1 all in the numerator with the 128 in the denominator.
Now.. this all depends on the interpretation of what you posted.
Thank you!!!!!!!!!!!!!!
As Ms Pi noted, without brackets to establish the correct order of operation,
it is hard to tell what you mean.
I will read it as
(-2mx^-3)^-4/(8m^-5 x^0) , you said the entire 5x is raised to zero, but the -5 must be
the exponent of m
= (-2)^-4 (m^-4) (x^12) (m^5) / 8
= (1/16) (1/m^4) (x^12) (m^5)/8
= (x^12)(m)/128
If I read it incorrectly, retype it using proper brackets
Thanks
To simplify the expression (-2mx^-3)^-4/8m^-5x^0, we can follow these steps:
Step 1: Simplify the numerator and denominator separately.
- Since the base of the exponent (-2mx^-3) is raised to a negative power (-4), we can rewrite it by flipping the base and changing the exponent sign to positive:
(-2mx^-3)^-4 = 1/(-2mx^-3)^4
Step 2: Simplify the numerator and denominator by expanding the exponent.
- In the numerator: (1/(-2mx^-3))^4 = 1^4/(-2)^4*(m^4)*(x^-3)^4
= 1/16(m^4)*(x^-12)
- In the denominator: 8m^-5x^0 = 8*(m^-5)*(x^0)
= 8*(1/m^5)*(1)
= 8/m^5
Step 3: Combine the simplified numerator and denominator.
Since the exponent of x is 0 (x^0), it equals 1. Therefore, we have:
(1/16(m^4)*(x^-12))/(8/m^5)
= (1/16(m^4)*(1/x^12))/(8/m^5)
= (1/16)*(m^5)/(8)*(1/x^12)
= (1*m^5)/(16*8*x^12)
Step 4: Further reduce the expression if possible.
- In the numerator: (1*m^5) = m^5
- In the denominator: (16*8) = 128
So, the final simplified expression is:
m^5/128x^12
Remember, practice is key when it comes to solving math problems. If you are struggling, it is important to review the rules of exponents, especially negative and fractional exponents. Additionally, practicing more examples and seeking additional help from a teacher, tutor, or online resources can also enhance your understanding and build confidence in math.