Evaluate. ((1)/(5))^(2)=

Identify base and exponent: Identify the base and the exponent. In the expression ((1)/(5))^(2), (1/5) is the base raised to the exponent 2. Base: 1/5 Exponent: 2Choose expanded form: Choose the expanded form of ((1)/(5))^(2). The base is 1/5 and the exponent is 2. So, ((1)/(5))^(2) means 1/5 is multiplied by itself 2 times. Expanded Form of ((1)/(5))^(2): (1/5) × (1/5)Multiply to simplest form: ((1)/(5))^(2) = (1/5) × (1/5) Multiply to write in simplest form. ((1)/(5))^(2) = (1/5) × (1/5) = 1/25 The simplest form of ((1)/(5))^(2) is 1/25.

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Evaluate. $\newline$ $(\frac{1}{5})^{2}=$

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Math Problems

Grade 8

Powers with negative bases

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Q. Evaluate.

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(\frac{1}{5})^{2}=

Identify base and exponent: Identify the base and the exponent. $\newline$ In the expression $(\frac{1}{5})^{2}$ , $(\frac{1}{5})$ is the base raised to the exponent $2$ . $\newline$ Base: $\frac{1}{5}$ $\newline$ Exponent: $2$
Choose expanded form: Choose the expanded form of $(\frac{1}{5})^{2}$ . $\newline$ The base is $\frac{1}{5}$ and the exponent is $2$ . $\newline$ So, $(\frac{1}{5})^{2}$ means $\frac{1}{5}$ is multiplied by itself $2$ times. $\newline$ Expanded Form of $(\frac{1}{5})^{2}$ : $\newline$ $(\frac{1}{5}) \times (\frac{1}{5})$
Multiply to simplest form: $\left(\frac{1}{5}\right)^{2} = \frac{1}{5} \times \frac{1}{5}$ Multiply to write in simplest form. $\left(\frac{1}{5}\right)^{2}$ = $\frac{1}{5} \times \frac{1}{5}$ = $\frac{1}{25}$ The simplest form of $\left(\frac{1}{5}\right)^{2}$ is $\frac{1}{25}$ .