Question

decide whether the following statement is true or false. if it is false, explain why.

(7^{1} = 1)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the statement (7^{1} = 1) is false because the left side evaluates to , which is not equal to the right side. (simplify your answer.)
b. the statement (7^{1} = 1) is true.

Explanation:

Evaluate the left side of the equation

$$ 7^1 = 7 $$

Compare both sides of the equation

$$ 7 eq 1 $$

Determine the correct statement

The statement \(7^1 = 1\) is false because the left side evaluates to \(7\), which is not equal to the right side.

Answer:

• (A) The statement \(7^1 = 1\) is false because the left side evaluates to <blank>7</blank>, which is not equal to the right side. (Correct answer)
• (B) The statement \(7^1 = 1\) is true.