Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which is equal to $8^{-3}$ ? $\newline$ Choices: $\newline$ (A) $-8^3$ $\newline$ (B) $\frac{1}{8^3}$ $\newline$ (C) $-\frac{1}{(-8)^{-3}}$ $\newline$ (D) $-\frac{1}{8^{-3}}$

View step-by-step help

View step-by-step help

Understanding negative exponents

Full solution

Q. Which is equal to

8^{-3}

?

\newline

Choices:

\newline

(A)

-8^3

\newline

(B)

\frac{1}{8^3}

\newline

(C)

-\frac{1}{(-8)^{-3}}

\newline

(D)

-\frac{1}{8^{-3}}

Identify Base and Exponent: Identify the base and the exponent in $8^{-3}$ . $\newline$ Base: $8$ , Exponent: $-3$ .
Rewrite Using Property: Rewrite the expression $8^{-3}$ using the property of negative exponents, which states that $a^{-n} = \frac{1}{a^n}$ . $\newline$ So, $8^{-3} = \frac{1}{8^3}$ .
Match with Choices: Match the rewritten expression with the given choices. $\newline$ $\frac{1}{8^3}$ corresponds to choice (B).

More problems from Understanding negative exponents

Question

Write the expression using an exponent.

\newline

2 \times 2

\newline

Posted 2 months ago

Question

Evaluate the expression.

4 - 4^2

Posted 2 months ago

Question

x^2 = 4

Posted 1 month ago

Question

x^2 = 9

Posted 3 months ago

Question

\newline

x^2 = 0

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

Posted 3 months ago

Question

x

\newline

8 = 2^x

\newline

x =

Posted 3 months ago

Question

x

\newline

6 = 7^x

\newline

x =

Posted 3 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 4 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 1 month 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 1 month ago