In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. 2^3.4

검증된 단계별 안내

Identify the expression to evaluate: \$2^{3.4}$.

Recall that $a^b$ means $a$ raised to the power of $b$, where $a=2$ and $b=3.4$ in this case.

Use a calculator to compute \$2^{3.4}$. Most calculators have a power function, often labeled as $x^y$ or $\hat{}$.

Enter 2, then use the power function, and then enter 3.4 to get the approximate value.

Round the result to three decimal places as instructed.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

45s

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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, 2^3 means 2 multiplied by itself 3 times (2 × 2 × 2). Understanding how to interpret and work with exponents is essential for evaluating expressions like 2^3.4.

Decimal Exponents

Decimal exponents represent roots and fractional powers, extending the idea of integer exponents. For instance, 2^3.4 means 2 raised to a power between 3 and 4, which can be calculated using logarithms or a calculator. This concept helps in approximating values that are not whole-number powers.

Rounding to a Specified Decimal Place

Rounding is the process of limiting a number to a certain number of decimal places for simplicity and clarity. Rounding to three decimal places means keeping three digits after the decimal point and adjusting the last digit based on the next digit. This ensures the answer is precise yet manageable.

In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. 23.4