Evaluate each expression 16^1/2.

검증된 단계별 안내

Recognize that the expression \(16^{1/2}\) represents the square root of 16 because an exponent of \(1/2\) means the square root.

Rewrite the expression using the square root notation: \(16^{1/2} = \sqrt{16}\).

Recall that the square root of a number is a value that, when multiplied by itself, gives the original number.

Identify the number that when squared equals 16. Since \(4 \times 4 = 16\), the square root of 16 is 4.

Therefore, \(16^{1/2}\) simplifies to 4.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

59s

도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Exponents and Powers

Exponents indicate how many times a base number is multiplied by itself. For example, 16^2 means 16 multiplied by itself twice. Understanding exponents helps in simplifying expressions involving powers.

Fractional Exponents

A fractional exponent like 16^(1/2) represents a root; specifically, the denominator of the fraction is the root's degree. Here, 1/2 means the square root, so 16^(1/2) equals the square root of 16.

Square Roots

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4 because 4 × 4 = 16. This concept is essential for evaluating expressions with fractional exponents.

Evaluate each expression 161/2.