Evaluate each exponential expression in Exercises 1–22. $3 cubed squared$

검증된 단계별 안내

Identify the given expression: $ (3^3)^2 $. This is a power raised to another power.

Recall the exponent rule for powers raised to powers: $ (a^m)^n = a^{m \times n} $.

Apply the rule by multiplying the exponents: $ 3^{3 \times 2} $.

Simplify the exponent multiplication: $ 3^6 $.

Evaluate $ 3^6 $ by multiplying 3 by itself 6 times (if needed, but the problem only asks to express the simplified form).

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

39s

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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, 3^3 means 3 multiplied by itself three times (3 × 3 × 3). Understanding this helps in evaluating expressions involving powers.

Power of a Power Rule

When an exponent is raised to another exponent, multiply the exponents. For instance, (3^3)^2 equals 3^(3×2) = 3^6. This rule simplifies expressions with nested exponents.

Evaluating Exponential Expressions

After simplifying the exponents, calculate the numerical value by multiplying the base the required number of times. For example, 3^6 = 3 × 3 × 3 × 3 × 3 × 3 = 729.

Evaluate each exponential expression in Exercises 1–22. (33)2(3^3)^2