Chapter 7.2, Problem 1CYU

To determine

To Simplify: The Given expression

  $\frac{t^5{u}^4}{t^{2}u}$

Answer to Problem 1CYU

The simplified expression is $t^3{u}^3$ .

Explanation of Solution

Given information:

  $\frac{t^5{u}^4}{t^{2}u}$

Concept Used:

Quotient of powers: It states that to divide two powers with same base, subtract the exponent.

For example, let a be any non-zero number and m and n be any integer.

  $\frac{a^m}{a^n}=a^{m-n}$

Calculation:

  $\frac{t^5{u}^4}{t^{2}u}$

(Group the powers with the same base)

  $=\left(\frac{t^5}{t^2}\right)\left(\frac{u^4}{u}\right)$

Using Quotient of Powers

  $=t^{5-2}{u}^{4-1}$

Simplify.

  $=t^3{u}^3$