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16. Simplify. All exponents must be positive in the final answer:Smarks)(by(6)(S. (25x"y)...

Question

16. Simplify. All exponents must be positive in the final answer:Smarks)(by(6)(S. (25x"y)

16. Simplify. All exponents must be positive in the final answer: Smarks) (by(6) (S. (25x"y)



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Simplify each expression. Write all answers without using negative exponents. $$-16^{3 / 2}$$

In this problem, we have 16 times the square root of acts taken to the second power, divided by one to the negative. First power working in the numerator. This I'm going because I have multiplication, not addition. Subtraction. I can distribute the exponents that could be 16 squared in the square root of X squared all over. Why? To the negative first 16 squared is 2 56 the square root and square opposite operation. So those will actually cancel each other out and I'll be left with Justin X. We don't like negative exponents, so I'm gonna move this y to the negative first to the numerator and switch the exponents become a positive wine to the first. So 2 56 x y would be the answer to this problem.

Okay. This question we have to simplify, we have to simplify 16 areas to the power four beers to the power three whole days to the power negative three by four. Okay. And we are to simplify and answer only in positive exponents. So no problem. Okay, no problem. First of all, we can see here negative exponents. So we know that appears to be about negative and can be right and has been divided diabetes to department. So it will be one divided by 16 areas to be power four B cube always to be about three by four. Okay. And now it is whole exponents. So we will know that we know that a B raised to the power and can be returned as areas to the power inverters to the government. So it will be one divided by 16 days to the Power three by four areas to the power four holders to the power three by four and be cubed raised to the power three by four, understand. And now we will solve this. No problem. First of all, one divided by 16 days to the power three by four has the form areas to the bottom by N. This can be written in the race to the bottom one by and holders to the program. So it will be 16 days to department by four whole days to the power three. Okay. And it will be uh areas to the power areas to the power m hallways to the power and can be recognized areas to the parliament. We will multiply the exponents. So four multiplied by three by four. It will be a cube. Okay and be raised to the power. It will be three multiplied by three x 4. It will be won by oh sorry three multiplied by three by four. It will be nine by four, understand. And now one divided by 16 days of the government by four, it is fourth root of 16. That is too okay. And to cube it will be Eight understand, so eight a cube be raised to the power nine x 4. It will be the final answer of discussion. Thank you.

Okay, So what's our corroborating this and experts for So this is 16 to part two of rates and to over eight is one of before. So we get the fourth roots of 16. Analysts note that 16 is due to our four, so that's equal to your

Being to simplify the given expression, the given Expressionists or persisting the world. Poland one by two We know that the power off political for experienced states that cape over our into this or risk androgynous April are in two years. For using this, we can register support over 16 to 1. Do that is work over 16 by two and now simplifying if we get for over eight. Hence the simplified expression is four or eight.


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