Question

Evalualre the expression (2^{3})^{1}
A) 6
B) 8
C) 16
D) 1

Answer 1

Option B). The expression (2^3)^1 simplifies to 8 because 2 raised to the 3rd power is 8, and any number raised to the power of 1 is itself.

Step-by-step explanation:

The expression to evaluate is (2^{3})^{1}. The process to solve this is to first calculate the exponent inside the parentheses, which is 2 cubed, or 2^3. This equals 2 × 2 × 2, which is 8. Since this result (8) is then raised to the power of 1, the value remains unchanged, because any number raised to the power of 1 is itself. Therefore, the expression (2^{3})^{1} simplifies to 8. Hence, Option B) is the correct answer.