Question
Question Represent the following sentence as an algebraic expression, where "a number" is the letter \( x \). \[ \text { A number raised to the seventh power. } \] Answer Attempt 1 out of 2
Ask by Bob Henry. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The algebraic expression is \( x^7 \).
Solution
To represent the sentence "A number raised to the seventh power" as an algebraic expression using the letter \( x \), we can express it as follows:
\[
x^7
\]
Here, \( x \) represents "a number," and raising it to the seventh power is denoted by \( x^7 \).
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Simplify this solution The Deep Dive
To represent "a number raised to the seventh power" using the variable \( x \), you would write the expression as \( x^7 \). In this expression, \( x \) symbolizes the number you are referring to, and raising it to the seventh power indicates multiplying \( x \) by itself a total of seven times. Now, let's have some fun with the concept of exponents! Did you know that exponentiation is one of the fundamental operations in mathematics, alongside addition, subtraction, multiplication, and division? It gives us a way to express repeated multiplication in a concise form, like how \( 10^3 \) succinctly tells us we need to multiply \( 10 \times 10 \times 10 \) to get 1,000!
