Question

Simplify. (m⁻⁵n⁻⁹p⁴)/(m⁶n²p⁻¹).Write your answer using only positive expone

Answer 1

The expression (m⁻⁵n⁻⁹p⁴)/(m⁶n²p⁻¹) simplifies to m^11 * n^11 * p^5 by subtracting the exponents for each variable from the numerator and denominator.

Step-by-step explanation:

To simplify the expression (m⁻⁵n⁻⁹p⁴)/(m⁶n²p⁻¹) using only positive exponents, we follow the rules of exponentiation for division.

For any variables a, b, and c, and exponents x, y, and z, the general rule is:
a⁴¹ / a² = a^(x-y),
b¹ / b² = b^(y-z),
c⁴ / c⁻¹ = c^(x+z).

Applying these rules we get:
m^(6-(-5)) * n^(2-(-9)) * p^(4-(-1))
Which simplifies to:
m^11 * n^11 * p^5.

This is the expression with only positive exponents.