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Simplify. Do not use negative exponents in the an…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 79 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120 Problem 121 Problem 122 Problem 123 Problem 124 Problem 125

Problem 78 Medium Difficulty

Simplify. Do not use negative exponents in the answer.
$$
\frac{6^{-2} b^{9} c^{3}}{5^{-3} b^{4} c^{8}}
$$

Answer

$$
\frac{125}{36} \frac{b^{5}}{c^{5}}
$$

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Chapter 5

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Video Transcript

and this a questions required to simplify the from a gig suppression. As you can see here, there are two power of the same base. Be under to pull of the same Basie. So it's combined them together. Huh? Now this would be equal toe. I just write down the constant at as ah they are, as I will do them later. Now, looking at the 1st 2 powers, which has the same based be the division off powers of the same base, I will subtract explosion. So by writing down b the power off the first explorers in the numerator minds, the export indeed own Terminator four. Now the same applies to the the division off the poor to Power's off the same Basie. I will serve drug exports as well. So see to the boat off three minus eight. Oh, and that's compute them. Six. Support off minus two will remain the same for now. And 54 off mine's three as well. Now beat apart off nine miles. Four is five multiplied by C for off three miles eight, which is minus five. Now I don't want thes exposed to exist in the solution and defiant answer so I have to eliminate them and turn them tow positive by changing the places off the there thes powers. In other words, taking this broken so six miles to was in the numerator will turn to the eliminator and what was in the dominator will become the numerator. So now this is five to borrow mine three. It was Indian denominator. Now it will be in the numerator. So it's 5 to 4 on. The experience will be composed of 543 over 60 butterflies to wasin the numerator. Now it will become indeed denominator sex war off the positive too. Now on seeing what my suave as well will become in the denominator and explained will be postive bit about off five. The export is already positive, so it will remain in the numerator. Now The final tiny step is to compute the constant powers. So 54 of three is 125. Divide by beat four or five over six point of two is 36 c the board or five. So this is Theseus. Lucien

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Elementary and Intermediate Algebra

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