Evaluate. (-(4)/(5))^(2)=

Identify Base and Exponent: Identify the base and the exponent. In the expression (-(4)/(5))^(2), -(4)/(5) is the base raised to the exponent 2. Base: -(4)/(5) Exponent: 2Choose Expanded Form: Choose the expanded form of (-(4)/(5))^(2). The base is -(4)/(5) and the exponent is 2. So, (-(4)/(5))^(2) means -(4)/(5) is multiplied by itself 2 times. Expanded Form of (-(4)/(5))^(2): (-(4)/(5)) × (-(4)/(5))Multiply to Simplify: (-(4)/(5))^(2) = (-(4)/(5)) × (-(4)/(5)) Multiply to write in simplest form. (-(4)/(5))^(2) = (-(4)/(5)) × (-(4)/(5)) = (16)/(25) The simplest form of (-(4)/(5))^(2) is (16)/(25).

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Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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\left(-\frac{4}{5}\right)^{2}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $\left(-\frac{4}{5}\right)^{2}$ , $-\frac{4}{5}$ is the base raised to the exponent $2$ . $\newline$ Base: $-\frac{4}{5}$ $\newline$ Exponent: $2$
Choose Expanded Form: Choose the expanded form of $\left(-\frac{4}{5}\right)^{2}$ . The base is $-\frac{4}{5}$ and the exponent is $2$ . So, $\left(-\frac{4}{5}\right)^{2}$ means $-\frac{4}{5}$ is multiplied by itself $2$ times. Expanded Form of $\left(-\frac{4}{5}\right)^{2}$ : $\left(-\frac{4}{5}\right) \times \left(-\frac{4}{5}\right)$
Multiply to Simplify: $\left(-\frac{4}{5}\right)^{2} = \left(-\frac{4}{5}\right) \times \left(-\frac{4}{5}\right)$ $\newline$ Multiply to write in simplest form. $\newline$ $\left(-\frac{4}{5}\right)^{2}$ $\newline$ $= \left(-\frac{4}{5}\right) \times \left(-\frac{4}{5}\right)$ $\newline$ $= \frac{16}{25}$ $\newline$ The simplest form of $\left(-\frac{4}{5}\right)^{2}$ is $\frac{16}{25}$ .