Question

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

(8^2 = 16)

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

a. the statement (8^2 = 16) is false because the left side evaluates to , which is not equal to the right side. (simplify your answer.)
b. the statement (8^2 = 16) is true.

Explanation:

Evaluate the exponential expression

$$ 8^2 = 8 \times 8 = 64 $$

Compare the result with the given equation

$$ 64 eq 16 $$

Determine the correct choice

The statement is false because the left side evaluates to \(64\), which corresponds to option A.

Answer:

• (A) The statement \(8^2 = 16\) is false because the left side evaluates to <blank>64</blank>, which is not equal to the right side. (Correct answer)
• (B) The statement \(8^2 = 16\) is true.