Select all the expressions that are equivalent to (2^1)^2. Multi-select Choices: (A)2^3 (B)1/2^2 (C)2^2 (D)1/2^3

Simplify Expression: Simplify the expression (2^1)^2. Calculation: (2^1)^2 = 2^2 = 4. Compare with (A): Compare the simplified result with choice (A) 2^3. Calculation: 2^3 = 8. Since 8 ≠ 4, (A) is not equivalent. Compare with (B): Compare the simplified result with choice (B) 1/2^2. Calculation: 1/2^2 = 1/4. Since 1/4 ≠ 4, (B) is not equivalent. Compare with (C): Compare the simplified result with choice (C) 2^2. Calculation: 2^2 = 4. Since 4 = 4, (C) is equivalent. Compare with (D): Compare the simplified result with choice (D) 1/2^3. Calculation: 1/2^3 = 1/8. Since 1/8 ≠ 4, (D) is not equivalent.

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Math Problems

Algebra 2

Complex conjugate theorem

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Q. Select all the expressions that are equivalent to

(2^1)^2

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Multi-select Choices:

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(A)

2^3

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(B)

\frac{1}{2^2}

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(C)

2^2

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(D)

\frac{1}{2^3}

Simplify Expression: Simplify the expression $(2^1)^2$ . Calculation: $(2^1)^2 = 2^2 = 4$ .
Compare with (A): Compare the simplified result with choice (A) $2^3$ . Calculation: $2^3 = 8$ . Since $8 \neq 4$ , (A) is not equivalent.
Compare with (B): Compare the simplified result with choice (B) $\frac{1}{2^2}$ . Calculation: $\frac{1}{2^2} = \frac{1}{4}$ . Since $\frac{1}{4} \neq 4$ , (B) is not equivalent.
Compare with (C): Compare the simplified result with choice (C) $2^2$ . Calculation: $2^2 = 4$ . Since $4 = 4$ , (C) is equivalent.
Compare with (D): Compare the simplified result with choice (D) $\frac{1}{2^3}$ . Calculation: $\frac{1}{2^3} = \frac{1}{8}$ . Since $\frac{1}{8} \neq 4$ , (D) is not equivalent.