Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which is equal to $\frac{1}{4^6}$ ? $\newline$ Choices: $\newline$ (A) $-(-4)^6$ $\newline$ (B) $\frac{1}{4^{-6}}$ $\newline$ (C) $-4^6$ $\newline$ (D) $4^{-6}$

View step-by-step help

View step-by-step help

Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{4^6}

?

\newline

Choices:

\newline

(A)

-(-4)^6

\newline

(B)

\frac{1}{4^{-6}}

\newline

(C)

-4^6

\newline

(D)

4^{-6}

Identify Base and Exponent: Identify the base and the exponent of $4^6$ $\newline$ In $4^6$ , $4$ is the base raised to the exponent $6$ . $\newline$ Base: $4$ $\newline$ Exponent: $6$
Rewrite as Negative Exponent: Rewrite the expression $\frac{1}{4^6}$ as a whole number with a negative exponent. $\newline$ Move $4^6$ to the numerator and then make the exponent negative. $\newline$ $\frac{1}{4^6} = 4^{-6}$
Choose Equivalent Expression: Choose the answer choice that is the equivalent expression for $1 / 4^6$ . $1 / 4^6$ is equivalent to $4^{-6}$ , which is choice $(D)$ .

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 5 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