Which exponential expression is equivalent to root(6)(k^(5)) ? Choose 1 answer: (A) (k^(6))/(k^(5)) (B) (k^(5))/(k^(6)) (c) k^((5)/(6)) (D) k^((6)/(5))

Expressing the root as an exponent: To find an equivalent exponential expression for the sixth root of k to the power of 5, we need to express the root as an exponent. The sixth root of a number is the same as raising that number to the power of 1/6. So, the sixth root of k^5 is k^(5 * 1/6).Finding the equivalent expression: Now, we multiply the exponents to find the equivalent expression. 5 * 1/6 = 5/6 Therefore, the sixth root of k^5 is k^(5/6).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which exponential expression is equivalent to
root(6)(k^(5)) ?
Choose 1 answer:
(A)
(k^(6))/(k^(5))
(B)
(k^(5))/(k^(6))
(c)
k^((5)/(6))
(D)
k^((6)/(5))

Which exponential expression is equivalent to $\sqrt[6]{k^{5}}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{k^{6}}{k^{5}}$ $\newline$ (B) $\frac{k^{5}}{k^{6}}$ $\newline$ (C) $k^{\frac{5}{6}}$ $\newline$ (D) $k^{\frac{6}{5}}$

View step-by-step help

Home

Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which exponential expression is equivalent to

\sqrt[6]{k^{5}}

\newline

Choose

1

answer:

\newline

(A)

\frac{k^{6}}{k^{5}}

\newline

(B)

\frac{k^{5}}{k^{6}}

\newline

(C)

k^{\frac{5}{6}}

\newline

(D)

k^{\frac{6}{5}}

Expressing the root as an exponent: To find an equivalent exponential expression for the sixth root of $k$ to the power of $5$ , we need to express the root as an exponent. $\newline$ The sixth root of a number is the same as raising that number to the power of $1/6$ . $\newline$ So, the sixth root of $k^5$ is $k^{(5 * 1/6)}$ .
Finding the equivalent expression: Now, we multiply the exponents to find the equivalent expression. $5 \times \frac{1}{6} = \frac{5}{6}$ Therefore, the sixth root of $k^5$ is $k^{\frac{5}{6}}$ .