Which is equal to 1/4^44? Choices: (A)-1/4^-44 (B)(-4)^44 (C)4^-44 (D)-4^44

Understand Expression: Understand the given expression 1/4^44. The expression is a fraction with 1 in the numerator and 4^44 in the denominator.Apply Negative Exponent Rule: Apply the negative exponent rule to the denominator. The negative exponent rule states that a^-m = 1/a^m. Therefore, 1/4^44 can be rewritten using a negative exponent as 4^-44.Compare with Choices: Compare the rewritten expression with the given choices. The expression 4^-44 matches choice (C), which is 4^-44.Verify Other Choices: Verify that the other choices do not match the given expression. (A) -1/4^-44 introduces a negative sign that is not present in the original expression. (B) (-4)^44 changes the base from 4 to -4 and removes the fraction, which is incorrect. (D) -4^44 also changes the base and introduces a negative sign, which is incorrect.

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Algebra 1

Negative exponents

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Q. Which is equal to

\frac{1}{4^{44}}

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Choices:

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(A)

-\frac{1}{4^{-44}}

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(B)

(-4)^{44}

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(C)

4^{-44}

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(D)

-4^{44}

Understand Expression: Understand the given expression $\frac{1}{4^{44}}$ . The expression is a fraction with $1$ in the numerator and $4^{44}$ in the denominator.
Apply Negative Exponent Rule: Apply the negative exponent rule to the denominator. $\newline$ The negative exponent rule states that $a^{-m} = 1/a^{m}$ . Therefore, $1/4^{44}$ can be rewritten using a negative exponent as $4^{-44}$ .
Compare with Choices: Compare the rewritten expression with the given choices. $\newline$ The expression $4^{-44}$ matches choice (C), which is $4^{-44}$ .
Verify Other Choices: Verify that the other choices do not match the given expression. $\newline$ (A) $-\frac{1}{4^{-44}}$ introduces a negative sign that is not present in the original expression. $\newline$ (B) $(-4)^{44}$ changes the base from $4$ to $-4$ and removes the fraction, which is incorrect. $\newline$ (D) $-4^{44}$ also changes the base and introduces a negative sign, which is incorrect.