Chapter 9, Problem 9SGR

To determine

To calculate:To determine if the below statement is true or false. If false, replace the underlined word or number to make a true statement -

To simplify ${\left(n^6\right)}^5$ , the first step is to add$6$ and $5$ .

Answer to Problem 9SGR

The statement "To simplify ${\left(n^6\right)}^5$ , the first step is to add$6$ and $5$ .” is False.

The correct statement is "To simplify ${\left(n^6\right)}^5$ , the first step is to multiply$6$ and $5$ .”

Explanation of Solution

Given information:

Given statement is - To simplify ${\left(n^6\right)}^5$ , the first step is to add$6$ and $5$ .

Formula Used:

Definition of Power rule of an exponentstates that "to raise a power to a power you need to multiply the exponents”.

Calculation:

Given statement is - A(n) nonlinear function has a constant rate of change.

From the abovedefinition ofPower rule of an exponent, the statement "To simplify ${\left(n^6\right)}^5$ , the first step is to add$6$ and $5$ .” is False.

The correct statement is "To simplify ${\left(n^6\right)}^5$ , the first step is to multiply$6$ and $5$ .”

Conclusion:

The statement "To simplify ${\left(n^6\right)}^5$ , the first step is to add$6$ and $5$ .” is False.

The correct statement is "To simplify ${\left(n^6\right)}^5$ , the first step is to multiply$6$ and $5$ .”