Evaluation of $8^1 \times 8^0 \times 8^0$ is:

Appeared in: UPUMS Nsg.Officer-2024

Explanation

The expression to be evaluated is 8¹ × 8⁰ × 8⁰.
According to the identity exponent rule, any number raised to the power of 1 is the number itself. Therefore, 8¹ = 8.
According to the zero exponent rule, any non-zero number raised to the power of 0 is 1. Therefore, 8⁰ = 1.
Substituting these values back into the expression gives: 8 × 1 × 1.
The final product is 8.

Option B: This option is incorrect because a correct answer (8) is available among the choices.
Option C: This is incorrect. It would be the answer only if all terms were raised to the power of 0 (e.g., 8⁰ × 8⁰ × 8⁰ = 1 × 1 × 1 = 1). This choice incorrectly assumes 8¹ is also 1.
Option D: This is incorrect and stems from a common misconception that a number raised to the power of 0 equals 0. The correct rule is that any non-zero number to the power of 0 is 1.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain This question tests the basic rules of exponents, specifically the identity exponent rule (a¹ = a) and the zero exponent rule (a⁰ = 1) as background academic context rather than a clinical decision trigger.
While this is a general aptitude question, strong foundational math skills are critical in nursing.
Nurses frequently perform calculations for medication dosages, IV drip rates, and converting units of measurement (e.g., mg to mcg).
A simple mathematical error, such as misinterpreting an exponent or a decimal point, can lead to significant medication errors, posing a serious risk to patient safety.

How to Approach the Question

First, analyze the expression: 8¹ × 8⁰ × 8⁰. It involves multiplication of terms with exponents.
Recall the fundamental rules of exponents.
Apply the 'Identity Exponent Rule', which states that any number raised to the power of 1 is the number itself. So, 8¹ = 8.
Apply the 'Zero Exponent Rule', which states that any non-zero number raised to the power of 0 is 1. So, 8⁰ = 1.
Substitute the simplified values back into the expression: 8 × 1 × 1.
Perform the multiplication to find the final answer: 8.

Concept Tested & Keywords

Concept Tested: This question tests the basic rules of exponents, specifically the identity exponent rule (a¹ = a) and the zero exponent rule (a⁰ = 1).
Stem keywords: Evaluation, Exponents, 8^1, 8^0
Lead-in keywords: is:

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