Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

View step-by-step help

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.

More problems from Understanding negative exponents

Question

Write the expression using an exponent.

\newline

2 \times 2

\newline

Posted 3 months ago

Question

Evaluate the expression.

4 - 4^2

Posted 3 months ago

Question

x^2 = 4

Posted 2 months ago

Question

x^2 = 9

Posted 4 months ago

Question

\newline

x^2 = 0

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

Posted 4 months ago

Question

x

\newline

8 = 2^x

\newline

x =

Posted 4 months ago

Question

x

\newline

6 = 7^x

\newline

x =

Posted 4 months ago

Question

Select the equivalent expression.

\newline

((8^{-5})/(2^{-2}))^{-4}=?

\newline

1

\newline

\newline

(8^{20})/(2^{8})

\newline

\newline

(2^{6})/(8^{9})

\newline

\newline

(1)/(8\cdot 2^{2})

Posted 16 days ago

Question

Select the equivalent expression.

\newline

\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?

\newline

1

\newline

\frac{b^{21}}{4^{15}}

\newline

\frac{4^{15}}{b^{21}}

\newline

b^{-21}\cdot 4^{-15}

Posted 2 months ago

Question

Select the equivalent expression.

\newline

(3^{3}\cdot6^{6})^{-3}=

\newline

1

\newline

\frac{1}{3^{9}\cdot6^{18}}

\newline

\frac{6^{18}}{3^{9}}

\newline

\frac{3^{9}}{6^{18}}

Posted 2 months ago