Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate. Write your answer as a fraction or whole number. $\newline$ $(\frac{1}{2})^2 =$ _____

View step-by-step help

View step-by-step help

Negative Exponents

Full solution

Q. Evaluate. Write your answer as a fraction or whole number.

\newline

(\frac{1}{2})^2 =

_____

Identify base and exponent: Identify the base and the exponent of $(\frac{1}{2})^2$ . $\newline$ In $(\frac{1}{2})^2$ , $\frac{1}{2}$ is the base raised to the exponent $2$ . $\newline$ Base: $\frac{1}{2}$ $\newline$ Exponent: $2$
Choose expanded form: Choose the expanded form of $(\frac{1}{2})^2$ $(\frac{1}{2})^2$ means $\frac{1}{2}$ is multiplied by itself $2$ times. Expanded Form: $(\frac{1}{2} \times \frac{1}{2})$
Multiply for simplest form: $\frac{1}{2}^2 = \frac{1}{2} \times \frac{1}{2}$ $\newline$ Multiply to write in simplest form. $\newline$ $\left(\frac{1}{2}\right)^2$ $\newline$ $= \frac{1}{2} \times \frac{1}{2}$ $\newline$ $= \frac{1}{4}$ $\newline$ Simplest form: $\frac{1}{4}$

More problems from Negative Exponents

Question

Write the expression using an exponent.

\newline

2 \times 2

\newline

Posted 8 months ago

Question

Evaluate the expression.

4 - 4^2

Posted 8 months ago

Question

x^2 = 4

Posted 7 months ago

Question

x^2 = 9

Posted 9 months ago

Question

\newline

x^2 = 0

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

Posted 9 months ago

Question

x

\newline

8 = 2^x

\newline

x =

Posted 9 months ago

Question

x

\newline

6 = 7^x

\newline

x =

Posted 9 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 6 months 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 7 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 8 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant