Questions: 3.4 ALEKS Homework: Rational Exponents Question 23 of 24 (1 point) I Question Attempt: 1 of U Evaluate the following. Click on "Not a real number" if applicable. (a) -36^(1/2)= (b) (-243)^(1/5)=

3.4 ALEKS Homework: Rational Exponents
Question 23 of 24 (1 point) I Question Attempt: 1 of U

Evaluate the following.
Click on "Not a real number" if applicable.
(a)
-36^(1/2)=

(b) (-243)^(1/5)=

Transcript text: 3.4 ALEKS Homework: Rational Exponents Question 23 of 24 (1 point) I Question Attempt: 1 of $U$ Evaluate the following. Click on "Not a real number" if applicable. (a) \[ -36^{\frac{1}{2}}= \] $\square$ (b) $(-243)^{\frac{1}{5}}=$ \[ (-243)^{\frac{1}{5}}=\square \]

Solution

Solution Steps

Step 1: Evaluate $-36^{\frac{1}{2}}$

The expression $-36^{\frac{1}{2}}$ can be rewritten as $- \sqrt{36}$. Since $\sqrt{36} = 6$, the expression simplifies to $-6$.

Step 2: Evaluate $(-243)^{\frac{1}{5}}$

The expression $(-243)^{\frac{1}{5}}$ represents the fifth root of $-243$. Since $-243 = (-3)^5$, the fifth root of $-243$ is $-3$.

Step 3: Leave the remaining questions unanswered

The question contains more parts, but according to the guidelines, only the first three steps are to be addressed. The remaining parts are left unanswered.

Final Answer

(a) $ \boxed{-6} $
(b) $ \boxed{-3} $

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