Chapter 4.3, Problem 9E

To determine

To write given fractions in its simplest form.

Answer to Problem 9E

  $\frac{21a^2}{11}$

Explanation of Solution

Given Information: $\frac{21a^3}{11a}$

Formula used: Divide numerator and denominator such that they can no longer be divided by the same whole number exactly or evenly (other than the number 1). Quotient Exponent Rule- When bases are same, in division, powers are subtracted.

Calculation:

  $\frac{21a^3}{11a}$

All numbers and variables are now written as product of its factors. Here, the variable a is same in both numerator & denominator. As per the Quotient Rule, the powers will now be subtracted. This gives us-

  $=\frac{21a^{3-1}}{11}$

On simplifying,

  $=\frac{21a^2}{11}$