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

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

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Evaluate. $\newline$ $\left(-\frac{5}{4}\right)^{2}=$

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Math Problems

Grade 8

Powers with negative bases

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Q. Evaluate.

\newline

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

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