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

Identify Base and Exponent: Identify the base and the exponent. In the expression (-2(1)/(2))^(2), -2(1)/(2) is the base raised to the exponent 2. Base: -2(1)/(2) Exponent: 2Choose Expanded Form: Choose the expanded form of (-2(1)/(2))^(2). The base is -2(1)/(2) and the exponent is 2. So, (-2(1)/(2))^(2) means -2(1)/(2) is multiplied by itself 2 times. Expanded Form of (-2(1)/(2))^(2): (-2(1)/(2)) × (-2(1)/(2))Multiply to Simplify: (-2(1)/(2))^(2) = (-2(1)/(2)) × (-2(1)/(2)) Multiply to write in simplest form. (-2(1)/(2))^(2) = (-2(1)/(2)) × (-2(1)/(2)) = (-2.5) × (-2.5)Calculate the Product: Calculate the product. (-2.5) × (-2.5) = 6.25 When multiplying two negative numbers, the result is positive.

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Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $(-2(1)/(2))^{2}$ , $-2(1)/(2)$ is the base raised to the exponent $2$ . $\newline$ Base: $-2(1)/(2)$ $\newline$ Exponent: $2$
Choose Expanded Form: Choose the expanded form of $(-2\left(\frac{1}{2}\right))^2$ . The base is $-2\left(\frac{1}{2}\right)$ and the exponent is $2$ . So, $(-2\left(\frac{1}{2}\right))^2$ means $-2\left(\frac{1}{2}\right)$ is multiplied by itself $2$ times. Expanded Form of $(-2\left(\frac{1}{2}\right))^2$ : $(-2\left(\frac{1}{2}\right)) \times (-2\left(\frac{1}{2}\right))$
Multiply to Simplify: $(-2(1)/(2))^{2} = (-2(1)/(2)) \times (-2(1)/(2))$ $\newline$ Multiply to write in simplest form. $\newline$ $(-2(1)/(2))^{2}$ $\newline$ $= (-2(1)/(2)) \times (-2(1)/(2))$ $\newline$ $= (-2.5) \times (-2.5)$
Calculate the Product: Calculate the product. $\newline$ $(-2.5) \times (-2.5) = 6.25$ $\newline$ When multiplying two negative numbers, the result is positive.