Evaluate. (-(1)/(4))^(2)=

Identify base and exponent: Identify the base and the exponent. In the expression (-(1)/(4))^(2), -(1)/(4) is the base raised to the exponent 2. Base: -(1)/(4) Exponent: 2Choose expanded form: Choose the expanded form of (-(1)/(4))^(2). The base is -(1)/(4) and the exponent is 2. So, (-(1)/(4))^(2) means -(1)/(4) is multiplied by itself 2 times. Expanded Form of (-(1)/(4))^(2): (-(1)/(4)) × (-(1)/(4))Multiply to simplify: (-(1)/(4))^(2) = (-(1)/(4)) × (-(1)/(4)) Multiply to write in simplest form. (-(1)/(4))^(2) = (-(1)/(4)) × (-(1)/(4)) = (1/4) × (1/4) = 1/16 The simplest form of (-(1)/(4))^(2) is 1/16.

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Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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\left(-\frac{1}{4}\right)^{2}=

Identify base and exponent: Identify the base and the exponent. $\newline$ In the expression $\left(-\frac{1}{4}\right)^{2}$ , $-\frac{1}{4}$ is the base raised to the exponent $2$ . $\newline$ Base: $-\frac{1}{4}$ $\newline$ Exponent: $2$
Choose expanded form: Choose the expanded form of $\left(-\frac{1}{4}\right)^{2}$ . The base is $-\frac{1}{4}$ and the exponent is $2$ . So, $\left(-\frac{1}{4}\right)^{2}$ means $-\frac{1}{4}$ is multiplied by itself $2$ times. Expanded Form of $\left(-\frac{1}{4}\right)^{2}$ : $\left(-\frac{1}{4}\right) \times \left(-\frac{1}{4}\right)$
Multiply to simplify: $(-\frac{1}{4})^{2} = (-\frac{1}{4}) \times (-\frac{1}{4})$ $\newline$ Multiply to write in simplest form. $\newline$ $(-\frac{1}{4})^{2}$ $\newline$ $= (-\frac{1}{4}) \times (-\frac{1}{4})$ $\newline$ $= \frac{1}{4} \times \frac{1}{4}$ $\newline$ $= \frac{1}{16}$ $\newline$ The simplest form of $(-\frac{1}{4})^{2}$ is $\frac{1}{16}$ .