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

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

Algebra

Chapter 7

Rational Exponents, Radicals, and Complex Numbers

Section 2

Rational Exponents

Quadratic Functions

Complex Numbers

Rational Functions

Missouri State University

Harvey Mudd College

Baylor University

Lectures

01:32

In mathematics, the absolu…

01:11

00:24

Write with positive expone…

00:28

00:39

Express using positive exp…

00:31

Simplify. Write the answer…

00:26

00:38

00:46

Simplify. If negative expo…

00:16

00:36

So this problem we'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'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

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00:20

$$\frac{\sqrt{49}}{\sqrt{-10}}$$

03:44

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00:23

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Use the quotient rule to divide. Then simplify if possible. See Example 5

01:34

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00:34

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