Question

simplify mn^-4/p^0q^-2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression, it is important to understand that any number or variable raised to the power of 0 is equal to 1. Additionally, any number or variable raised to a negative power can be rewritten as the inverse of that number or variable raised to the positive power.

Using these rules, we can simplify the expression as follows:

mn^-4/p^0q^-2

= m(1/n^4)/(1/q^2)
= m/q^2n^4

Therefore, mn^-4/p^0q^-2 simplifies to m/q^2n^4.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To simplify the expression mn^(-4)/p^(0)q^(-2), we need to simplify the terms with negative exponents and any terms with zero exponents.

First, let's simplify the term with the negative exponent:

n^(-4) = 1/n^4

Next, let's simplify the term with the zero exponent:

p^(0) = 1

Finally, let's write down the simplified expression:

mn^(-4)/p^(0)q^(-2) = mn^(-4)/(1)q^(-2)

Since p^(0) = 1, we can remove this term:

mn^(-4)/(1)q^(-2) = mn^(-4)/q^(-2)

To simplify further, when we have a fraction with negative exponents in the denominator, we can move the terms with negative exponents to the numerator and change the sign of the exponent:

mn^(-4)/q^(-2) = m n^(-4) q^2

Therefore, the simplified expression is mn^(-4)q^2.