write-with-positive-exponents-simplify-if-possible-8-4-sqrt3

Question

Write with positive exponents. Simplify if possible.
$$
8^{-4 \sqrt{3}}
$$

Joseph Lentino · Accepted Answer

So this problem we&#x27;ve got eight to the negative 4/3 power. So the first thing that we want to take care of is that negative export and negative exponents means reciprocal. So we&#x27;re gonna bring that to the denominators. We have won over eight to the 4/3 power, which is the same as, and we can simplify this. Now we can simplify this by taking the cube root of AIDS and then taking that entire answer to the fourth power. In this case, the Cuban of eight is to have one over to to the fourth Power two times two is four times to his eight times two is 16. And so the final answer here simplified would be 1 16

Amy Jiang · Answer

Okay. So by our negative exploited rule, rewrite this 1/8 to part for over three. And now about a definition exponents. This is the Cuba of eight to the power of four. What Q Group of eight. That&#x27;s equal to two somewhere too far for and that&#x27;s you. Go to 1/16.

Amy Jiang · Answer

Yes, it would start by using a rule of negative exponents who actually write. This is negative. Eight. Part of for over three and nobody definition of exponents. I can rewrite this radical Teoh Cuba of negative eight to power For what? A cube root of negative eight that&#x27;s equal to No, you have to. So have negative suit of our four, and that&#x27;s people to one over 16.

Alayna Handiak · Answer

to answer this question. We need to remember that to switch a negative exponents to a positive exponents, we turned the number and only the number that that power effects from a not numerator to a denominator or a denominator to a numerator. So in this case, we would leave the eight as the numerator because there is no negative exploding on that, that we would switch the X to the power of negative three to be over X to the power of three. This is the positive equivalent to our question, and that makes this your solution.

Liuxi Sun · Answer

kinds eight to Omega fourth Power. So when we&#x27;re multiplying exponents of the same base in this case 80 yeah, he was. Add the exponents. We get eight to then, uh, two plus negative for power to minus four, which is eight to the night of to power. And when When we have a negative exponents telling us do 1/8 squared, keep the positive version the exponent and me, this is equal to 1/64.

Amy Jiang · Answer

Okay, so about a rule of negative exponents, we can hear it. This has won over the following 3/2. And now what a definition of exponents. Aiken, be right. This as screwed of 42 par three describe it of force to. So that&#x27;s 2 to 3. We have two times. Two times to do them. Suit is four times two is eight. So we have 1/8.

Problem

Write with positive exponents. Simplify if possib…

Problem 29 Easy Difficulty

Write with positive exponents. Simplify if possible.
$$
8^{-4 \sqrt{3}}
$$

Answer

$8^{-\frac{4}{3}}=\frac{1}{16}$

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$8^{-\frac{4}{3}}=\frac{1}{16}$

Intermediate Algebra

Catherine R.

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Absolute Value - Example 1

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Elayn Martin-GayIntermediate Algebra

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