Evaluate. ((4)/(7))^(2)=

Identify base and exponent: Identify the base and the exponent. In the expression ((4)/(7))^(2), (4/7) is the base raised to the exponent 2. Base: 4/7 Exponent: 2Choose expanded form: Choose the expanded form of ((4)/(7))^(2). The base is 4/7 and the exponent is 2. So, ((4)/(7))^(2) means (4/7) is multiplied by itself once. Expanded Form of ((4)/(7))^(2): (4/7) × (4/7)Multiply to simplify: ((4)/(7))^(2) = (4/7) × (4/7) Multiply to write in simplest form. ((4)/(7))^(2) = (4/7) × (4/7) = (4×4)/(7×7) = 16/49 The simplest form of ((4)/(7))^(2) is 16/49.

Home

Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

\newline

(\frac{4}{7})^{2}=

Identify base and exponent: Identify the base and the exponent. $\newline$ In the expression $\left(\frac{4}{7}\right)^{2}$ , $\left(\frac{4}{7}\right)$ is the base raised to the exponent $2$ . $\newline$ Base: $\frac{4}{7}$ $\newline$ Exponent: $2$
Choose expanded form: Choose the expanded form of $((4)/(7))^2$ . $\newline$ The base is $\frac{4}{7}$ and the exponent is $2$ . $\newline$ So, $((4)/(7))^2$ means $\frac{4}{7}$ is multiplied by itself once. $\newline$ Expanded Form of $((4)/(7))^2$ : $\newline$ $\frac{4}{7} \times \frac{4}{7}$
Multiply to simplify: $\left(\frac{4}{7}\right)^{2} = \left(\frac{4}{7}\right) \times \left(\frac{4}{7}\right)$ $\newline$ Multiply to write in simplest form. $\newline$ $\left(\frac{4}{7}\right)^{2}$ $\newline$ $= \left(\frac{4}{7}\right) \times \left(\frac{4}{7}\right)$ $\newline$ $= \left(4\times4\right)/\left(7\times7\right)$ $\newline$ $= \frac{16}{49}$ $\newline$ The simplest form of $\left(\frac{4}{7}\right)^{2}$ is $\frac{16}{49}$ .