Simplify.
(mn^-4)/(p^0q^-2)
A. (mq^2)/(n^4)
B. (mp)/(n^4)
C
Sorry... there were more answers.
Simplify.
(mn^-4)/(p^0q^-2)
A. (mq^2)/(n^4)
B. (mp)/(n^4)
C. mn^-4 q^2 p^0
D. (q^2)/(mn^4)
D
m q^2 / n^4 that is A I pick
To simplify the expression (mn^-4)/(p^0q^-2), we can use the rule that any number raised to the power of zero is equal to 1, and any number raised to a negative power can be rewritten as the reciprocal of that number raised to the positive power.
Let's simplify step-by-step:
Step 1: Rewrite negative exponents:
The expression becomes (m / n^4) / (1 / q^2)
Step 2: Divide fractions:
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(m / n^4) * (q^2 / 1)
Step 3: Simplify:
(mq^2) / n^4
Therefore, the simplified expression is (mq^2) / n^4.
To simplify the expression (mn^-4)/(p^0q^-2), we can apply the rules of exponents.
First, let's focus on the numerator, mn^-4. According to the rule a^(-n) = 1/(a^n), we can rewrite mn^-4 as m/n^4.
Next, let's look at the denominator, p^0q^-2. Any number (except zero) to the power of zero is equal to 1. Therefore, p^0 is equal to 1. Also, using the rule a^(-n) = 1/(a^n), we can rewrite q^-2 as 1/q^2.
Now we can rewrite the expression as (m/n^4) / (1/q^2).
To divide fractions, we can multiply the numerator by the reciprocal of the denominator. Thus, multiplying (m/n^4) by (q^2/1) gives us:
(mq^2) / (n^4).
Therefore, the simplified expression is (mq^2)/(n^4).
So, the answer is A. (mq^2)/(n^4).