Which is equal to 1/5^15? Choices: (A)5^-15 (B)1/(-5)^15 (C)(-5)^15 (D)-(-5)^15

Understand Expression: Understand the given expression 1/5^15. The expression 1/5^15 represents the reciprocal of 5 raised to the 15th power.Apply Negative Exponent Rule: Apply the negative exponent rule. The negative exponent rule states that a^-m = 1/a^m. Therefore, to express 1/5^15 with a negative exponent, we would write it as 5^-15.Match with Choices: Match the expression with the given choices. Comparing the expression 5^-15 with the given choices, we find that it matches choice (A) 5^-15.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which is equal to $\frac{1}{5^{15}}$ ? $\newline$ Choices: $\newline$ (A) $5^{-15}$ $\newline$ (B) $\frac{1}{(-5)^{15}}$ $\newline$ (C) $(-5)^{15}$ $\newline$ (D) $-(-5)^{15}$

View step-by-step help

Full solution

Q. Which is equal to

\frac{1}{5^{15}}

\newline

Choices:

\newline

(A)

5^{-15}

\newline

(B)

\frac{1}{(-5)^{15}}

\newline

(C)

(-5)^{15}

\newline

(D)

-(-5)^{15}

Understand Expression: Understand the given expression $\frac{1}{5^{15}}$ . The expression $\frac{1}{5^{15}}$ represents the reciprocal of $5$ raised to the $15$ th power.
Apply Negative Exponent Rule: Apply the negative exponent rule. $\newline$ The negative exponent rule states that $a^{-m} = \frac{1}{a^m}$ . Therefore, to express $\frac{1}{5^{15}}$ with a negative exponent, we would write it as $5^{-15}$ .
Match with Choices: Match the expression with the given choices. $\newline$ Comparing the expression $5^{-15}$ with the given choices, we find that it matches choice (A) $5^{-15}$ .