Question 1

Rewrite the following exponential expression as a radical expression:

Accepted Answer

The given exponential expression is in the form of $a^{\frac{b}{c}}$. To convert this into a radical expression, we take the $c$th root of $a^b$. In this case, $a=11$, $b=eb69da_9e88_bb71_af94_737d06941f4a$, and $c=TB8311_{11}$. So the radical expression is the $11$th root of $eb69da_9e88_bb71_af94_737d06941f4a$. Choice C matches this expression.

Question 2

Simplify: -

Accepted Answer

The given expression cannot be simplified as it is a random string of characters followed by "_TB8311_11". Therefore, option B is the best choice which is simply the given expression with the sixth last digit changed from "83" to "55".

Question 3

Simplify:

Accepted Answer

The answer of Simplify: 
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Question 4

Rewrite the following exponential expression as a radical expression:

Accepted Answer

The answer of Rewrite the following exponential expression as a...

Question 5

Rewrite the following radical expression as an exponential expression:

Accepted Answer

The answer of Rewrite the following radical expression as an...

Question 6

Rewrite the following exponential expression as a radical expression:

Accepted Answer

The answer of Rewrite the following exponential expression as a...

Question 7

Rewrite the following exponential expression as a radical expression:

Accepted Answer

The answer of Rewrite the following exponential expression as a...

Question 8

Rewrite the following exponential expression as a radical expression:

Accepted Answer

The given exponential expression can be rewritten as $\sqrt[11]{e^{\frac{b}{6}}\cdot e^{\frac{9}{6}}\cdot e^{\frac{9}{6}}\cdot e^{\frac{10}{6}}\cdot e^{\frac{13}{6}}\cdot e^{\frac{0}{6}}\cdot e^{\frac{12}{6}}\cdot e^{\frac{3}{6}}\cdot e^{\frac{18}{6}}\cdot e^{\frac{1}{6}}\cdot e^{\frac{10}{6}}}$. Simplifying this expression gives $\sqrt[11]{e^{\frac{30}{6}}}= \sqrt[11]{e^{5}}$. So the correct answer is C.

Question 9

Simplify:

Accepted Answer

The answer of Simplify: 
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Question 10

Rewrite the following radical expression as an exponential expression:

Accepted Answer

The answer of Rewrite the following radical expression as an...

Question 11

Rewrite the following radical expression as an exponential expression:

Accepted Answer

The answer of Rewrite the following radical expression as an...

Question 12

Simplify:

Accepted Answer

The answer of Simplify: 
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Question 13

Simplify:

Accepted Answer

The answer of Simplify: 
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Question 14

Simplify:

Accepted Answer

The answer of Simplify: 
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Question 15

Simplify:

Accepted Answer

To simplify, we need to add 1 to the fourth set of numbers (c901 becomes c902). Therefore, the correct answer is B, where c901 is replaced with f013.

Question 16

Rewrite the following exponential expression as a radical expression:

Accepted Answer

The answer of Rewrite the following exponential expression as a...

Question 17

Simplify:

Accepted Answer

The answer of Simplify: 
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Question 18

Simplify:

Accepted Answer

The answer of Simplify: 
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Question 19

Simplify:

Accepted Answer

The answer of Simplify: 
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Question 20

Simplify:

Accepted Answer

We can simplify the hexadecimal number by adding 1 to the 2nd least significant digit (2cad -> 2c + 1 = 2c1), and adding 1 to the most significant digit of the last group of digits (b905763a3e1f -> b + 1 = c). This gives us the hexadecimal number 11eb69da_9e8b_53c0_af94_17edd3c66bab_TB8311_11.

Quiz 9: Exponents and Radicals

Rewrite the following exponential expression as a radical expression:

Simplify: -

Simplify:

Rewrite the following exponential expression as a radical expression:

Rewrite the following radical expression as an exponential expression:

Rewrite the following exponential expression as a radical expression:

Rewrite the following exponential expression as a radical expression:

Rewrite the following exponential expression as a radical expression:

Simplify:

Rewrite the following radical expression as an exponential expression:

Rewrite the following radical expression as an exponential expression:

Simplify:

Simplify:

Simplify:

Simplify:

Rewrite the following exponential expression as a radical expression:

Simplify:

Simplify:

Simplify:

Simplify: