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

Simplify Base First: Simplify the base (-3(2)/3) before raising it to the exponent. The base is -3 times 2 divided by 3. Simplify this expression first. -3(2)/3 = (-3 * 2) / 3 = -6 / 3 = -2Raise to Power: Raise the simplified base to the power of 2. Now that we have the simplified base of -2, we raise it to the exponent of 2. (-2)^2 means -2 is multiplied by itself. (-2)^2 = (-2) * (-2) = 4Write Final Answer: Write the final answer. The simplest form of (-3(2)/3)^(2) is 4.

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Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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

Simplify Base First: Simplify the base $-3(2)/3$ before raising it to the exponent. $\newline$ The base is $-3$ times $2$ divided by 3 \. Simplify this expression first.$\newline\$ -3(2)/3 = (-3 \times 2) / 3 $$\newline$= $ -6 / 3 $$\newline$= $ -2 $
Raise to Power: Raise the simplified base to the power of $2$. Now that we have the simplified base of $-2$, we raise it to the exponent of $2$. $(-2)^2$ means $-2$ is multiplied by itself. $(-2)^2 = (-2) \times (-2) = 4$
Write Final Answer: Write the final answer.$\newline$The simplest form of $(-3(2)/3)^{2}$ is $4$.