Evaluate. (-3(1)/(2))^(2)=

Identify base and exponent: Identify the base and the exponent. In the expression (-3(1)/(2))^(2), -3(1)/(2) is the base raised to the exponent 2. Base: -3(1)/(2) Exponent: 2Choose expanded form: Choose the expanded form of (-3(1)/(2))^(2). The base is -3(1)/(2) and the exponent is 2. So, (-3(1)/(2))^(2) means -3(1)/(2) is multiplied by itself 2 times. Expanded Form of (-3(1)/(2))^(2): (-3(1)/(2)) × (-3(1)/(2))Multiply to simplest form: (-3(1)/(2))^(2) = (-3(1)/(2)) × (-3(1)/(2)) Multiply to write in simplest form. (-3(1)/(2))^(2) = (-3(1)/(2)) × (-3(1)/(2)) = (9/4) The simplest form of (-3(1)/(2))^(2) is 9/4.

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Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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\left(-3 \frac{1}{2}\right)^{2}=

Identify base and exponent: Identify the base and the exponent. $\newline$ In the expression $(-3(1)/(2))^{2}$ , $-3(1)/(2)$ is the base raised to the exponent $2$ . $\newline$ Base: $-3(1)/(2)$ $\newline$ Exponent: $2$
Choose expanded form: Choose the expanded form of $(-3\frac{1}{2})^{2}$ . The base is $-3\frac{1}{2}$ and the exponent is $2$ . So, $(-3\frac{1}{2})^{2}$ means $-3\frac{1}{2}$ is multiplied by itself $2$ times. Expanded Form of $(-3\frac{1}{2})^{2}$ : $(-3\frac{1}{2}) \times (-3\frac{1}{2})$
Multiply to simplest form: $(-3(1)/(2))^{2} = (-3(1)/(2)) \times (-3(1)/(2))$ $\newline$ Multiply to write in simplest form. $\newline$ $(-3(1)/(2))^{2}$ $\newline$ $= (-3(1)/(2)) \times (-3(1)/(2))$ $\newline$ $= (9/4)$ $\newline$ The simplest form of $(-3(1)/(2))^{2}$ is $9/4$ .