Chapter 7.4, Problem 6STP

For Exercises $1-6,$ choose the correct letter.

Which of the following expressions is written in simplest form?

F. $3^5{x}^2$

G. ${(5y)}^3$

�. $a^{0}b$

I. $x^2{y}^{3}z$

To determine

To choose: The correct option with assigned letter that represents simplest form of given expression.

Answer to Problem 6STP

The option assigned by letter I is correct.

Explanation of Solution

Given information:

The forms of the expressions are

F. $3^5{x}^2$G. ${\left(5y\right)}^3$H. $a^{0}b$I. $x^2{y}^{3}z$

Method used:

The simplified or simplest form of the expression means no further modification is possible in the present form of expression.

Calculations:

The simplest form of expression $3^5{x}^2$ is $243x^2$ .

The simplest form of expression ${\left(5y\right)}^3$ is $5^3{y}^3=125y^3$ .

The simplest form of expression $a^{0}b$ is $1\cdot b=b$

. $\because a^0=1$

The simplest form of expression $x^2{y}^{3}z$ is $x^2{y}^{3}z$ as no further modification is possible.

Hence, the option assigned by letter I is correct.

Conclusion:

The option assigned by letter I is correct.