Which is equal to 6^-5? Choices: (A)-6^5 (B)1/6^5 (C)6^5 (D)1/(-6)^-5

Understand expression 6^-5: Step 1: Understand the expression 6^-5. 6^-5 means 1 divided by 6 raised to the power of 5. Calculation: 6^-5 = 1 / 6^5 Compare given choices: Step 2: Compare the choices given. (A) -6^5 is not correct because it represents a negative number, not a fraction. (B) 1/6^5 is exactly what 6^-5 simplifies to. (C) 6^5 is the positive power, not the inverse. (D) 1/(-6)^-5 simplifies to -6^5, which is not a fraction of 1 over something.

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Which is equal to $6^{-5}$ ? $\newline$ Choices: $\newline$ (A) $-6^5$ $\newline$ (B) $\frac{1}{6^5}$ $\newline$ (C) $6^5$ $\newline$ (D) $\frac{1}{(-6)^{-5}}$

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Math Problems

Grade 8

Understanding negative exponents

Full solution

Q. Which is equal to

6^{-5}

\newline

Choices:

\newline

(A)

-6^5

\newline

(B)

\frac{1}{6^5}

\newline

(C)

6^5

\newline

(D)

\frac{1}{(-6)^{-5}}

Understand expression $6^{-5}$ : Step $1$ : Understand the expression $6^{-5}$ . $6^{-5}$ means $1$ divided by $6$ raised to the power of $5$ . Calculation: $6^{-5} = 1 / 6^5$
Compare given choices: Step $2$ : Compare the choices given. $\newline$ (A) $-6^5$ is not correct because it represents a negative number, not a fraction. $\newline$ (B) $\frac{1}{6^5}$ is exactly what $6^{-5}$ simplifies to. $\newline$ (C) $6^5$ is the positive power, not the inverse. $\newline$ (D) $\frac{1}{(-6)^{-5}}$ simplifies to $-6^5$ , which is not a fraction of $1$ over something.