Evaluate. (-(3)/(4))^(2)=

Identify Base and Exponent: Identify the base and the exponent. In the expression (-(3)/(4))^(2), -(3)/(4) is the base raised to the exponent 2. Base: -(3)/(4) Exponent: 2Choose Expanded Form: Choose the expanded form of (-(3)/(4))^(2). The base is -(3)/(4) and the exponent is 2. So, (-(3)/(4))^(2) means -(3)/(4) is multiplied by itself 2 times. Expanded Form of (-(3)/(4))^(2): (-(3)/(4)) × (-(3)/(4))Evaluate Multiplication: Evaluate the multiplication of the base by itself. (-(3)/(4))^(2) = (-(3)/(4)) × (-(3)/(4)) = (3/4) × (3/4) = 9/16 When two negative numbers are multiplied, the result is positive.

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Evaluate. $\newline$ $\left(-\frac{3}{4}\right)^{2}=$

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Math Problems

Grade 8

Powers with negative bases

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Q. Evaluate.

\newline

\left(-\frac{3}{4}\right)^{2}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $\left(-\frac{3}{4}\right)^{2}$ , $-\frac{3}{4}$ is the base raised to the exponent $2$ . $\newline$ Base: $-\frac{3}{4}$ $\newline$ Exponent: $2$
Choose Expanded Form: Choose the expanded form of $\left(-\frac{3}{4}\right)^{2}$ . The base is $-\frac{3}{4}$ and the exponent is $2$ . So, $\left(-\frac{3}{4}\right)^{2}$ means $-\frac{3}{4}$ is multiplied by itself $2$ times. Expanded Form of $\left(-\frac{3}{4}\right)^{2}$ : $\left(-\frac{3}{4}\right) \times \left(-\frac{3}{4}\right)$
Evaluate Multiplication: Evaluate the multiplication of the base by itself. $\newline$ $(-\frac{3}{4})^{2}$ $\newline$ = $(-\frac{3}{4}) \times (-\frac{3}{4})$ $\newline$ = $\frac{3}{4} \times \frac{3}{4}$ $\newline$ = $\frac{9}{16}$ $\newline$ When two negative numbers are multiplied, the result is positive.