Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which is equal to $\frac{1}{4^7}$ ? $\newline$ Choices: $\newline$ (A) $4^{-7}$ $\newline$ (B) $-\frac{1}{4^{-7}}$ $\newline$ (C) $-4^7$ $\newline$ (D) $\frac{1}{(-4)^7}$

View step-by-step help

View step-by-step help

Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{4^7}

?

\newline

Choices:

\newline

(A)

4^{-7}

\newline

(B)

-\frac{1}{4^{-7}}

\newline

(C)

-4^7

\newline

(D)

\frac{1}{(-4)^7}

Understand Expression: Understand the expression $\frac{1}{4^7}$ . $\frac{1}{4^7}$ means the reciprocal of $4$ raised to the power of $7$ .
Rewrite Using Negative Exponents: Rewrite the expression using negative exponents. $\newline$ $\frac{1}{4^7}$ can be rewritten as $4^{-7}$ because moving the base $4$ to the numerator changes the exponent to negative.
Match with Choices: Match the rewritten expression with the given choices. $\newline$ The expression $4^{-7}$ matches with choice (A) $4^{-7}$ .

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 17 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