Chapter 1: Q1. (page 57)

Which variable expression represents the following phrase?
A number raised to the ninth power
$\begin{array}{l} a . 9 n \\ b . 9^{n} \\ c . n^{9} \\ d . \frac{9}{n} \end{array}$

Short Answer

Expert verified

The variable expression for the given phrase is $n^{9}$ .

Step by step solution

Step-1 – Concept of variable expression

A variable expression or algebraic expression consists of one or more terms including variables and numbers that are connected by algebraic operations $+, -, \times, \div$ .

Step-2 – Consider the number

Let the unknown number be n.

So, we need to find the number with an exponent 9 raised over it.

Step-3 – Write Variable expression

The term power refers to exponent. So, in order to find the expression for a number raised to the ninth power, we raise the exponent of number n by 9. That is,

$\begin{array}{l} Anumberraisedtotheninthpower = n raisedtothe9thpower \\ = n^{9} \end{array}$ .

Thus, the variable expression for the given phrase is $n^{9}$ .

Hence, option (c) is correct.

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Which variable expression represents the following phrase?
A number raised to the ninth power
$\begin{array}{l} a . 9 n \\ b . 9^{n} \\ c . n^{9} \\ d . \frac{9}{n} \end{array}$

Short Answer

Step by step solution

Step-1 – Concept of variable expression

Step-2 – Consider the number

Step-3 – Write Variable expression

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Which variable expression represents the following phrase?A number raised to the ninth powera.9nb.9nc.n9d.9n

Short Answer

Step by step solution

Step-1 – Concept of variable expression

Step-2 – Consider the number

Step-3 – Write Variable expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Which variable expression represents the following phrase?
A number raised to the ninth power
$\begin{array}{l} a . 9 n \\ b . 9^{n} \\ c . n^{9} \\ d . \frac{9}{n} \end{array}$