Simplify. mn^-4/p^0 q^-2
a) mq^2/n^4
b) mp/n^4
c)mn^-4q^2p^0
d)q^2/mm^4 ****
****= my answer.
Please check this for me!
d is the right answer
Thank you! @seba :D
mn^-4 / (p^0 q^-2)
= (m/n^4)/(1/q^2)
= mq^2/n^4
(mn^-4/p^0) q^-2
= (m/n^4) * 1/q^2
= m/(n^4 q^2)
what you wrote was ambiguous.
But in no case is there an m in the denominator.
To simplify the expression mn^-4/p^0 q^-2, we can apply the rules of exponents.
First, let's simplify the negative exponents: n^-4 and q^-2.
The rule states that any term with a negative exponent can be moved to the denominator and its absolute value exponent becomes positive.
So, n^-4 can be expressed as 1/n^4 and q^-2 can be expressed as 1/q^2.
Now, let's simplify the expression further: mn^-4/p^0 q^-2
Since p^0 is any number raised to the power of zero equals 1, we can replace p^0 with 1.
mn^-4/p^0 q^-2 becomes mn^-4/ (1*q^-2).
Next, let's combine like terms in the denominator:
Thus, mn^-4/ (1*q^-2) becomes mn^-4/q^-2 or mn^-4/q^2.
Finally, using the rule that states when dividing with the same base, we need to subtract the exponents, the expression becomes m(n^-4-q^2).
Now, applying the rule for negative exponents again, we can rewrite this as m/(n^4 * q^2).
To summarize, the simplified expression is mp/(n^4 * q^2).
Comparing this result with the options provided:
a) mq^2/n^4
b) mp/n^4
c)mn^-4q^2p^0
d)q^2/mm^4 **** (your answer)
Based on our simplification, the correct answer is b) mp/n^4.