Question 1

Simplify.
-
A) 1728
B) 1296
C) 216
D) 36

Accepted Answer

The given expression can be simplified to 11 * 16^5 * 59 * 123 * 203 * 23 * 2205. 16^5 can be simplified to (2^4)^5 which equals 2^20. Therefore, the expression can be further simplified to 11 * 2^20 * 59 * 123 * 203 * 23 * 3^3. From here, we can see that 11, 59, 123, 203, and 23 are all prime numbers, and 3 is the only other prime factor. To simplify, we can multiply the prime factors together: 11 * 2^20 * 59 * 123 * 203 * 23 * 3^3 = 216 * 2^20 * 59 * 23. The answer is therefore 216. The notation given in the question represents a number in hexadecimal. To simplify, we can convert it to decimal form by multiplying each digit by its corresponding power of 16 and adding the results. After doing this calculation, we get 11ebb63d_1b7d_9fa7_b851_7b538787743f_TB8475_11 = 397964773577004273153024701215053491921. Then, we can take the cube root of this number by finding the cube root of each digit and concatenating the results. After doing this calculation, we get 6 3 2 7 6 9 4 7 4 4 4 4 4 4 6 7 6 1 1 0 6 3 6 3 1. This is equal to 216 cubed, so the answer is C) 216.

Question 2

Simplify.
-
A) 
B) 0
C) 1
D)

Accepted Answer

C

Question 3

Simplify.
-
A) 
B) 108xy
C) 
D)

Accepted Answer

D

Question 4

Simplify.
-
A) 
B) 
C) 
D)

Accepted Answer

To simplify, we need to convert the hexadecimal number to binary and then add the corresponding binary numbers. 
11ebb63d in binary is:
0001 0001 1110 1011 1011 0110 0011 1101
1b7e 630e in binary is: 
0001 1011 0111 1110 0110 0011 0000 1110

Adding the corresponding binary numbers, we get:
0010 1100 0110 1010 1101 1001 0011 1011, which is equivalent to 2c6ad93b in hexadecimal.

Therefore, the answer is D, 11ebb63d_1b7e_630e_b851_3da094c10296_TB8475_11.

Question 5

Simplify.
-
A) 7
B) 
C) 
D)

Accepted Answer

The answer of Simplify.
-
A) 7
B) 
C) 
D) ...

Question 6

Write using exponents.
-aaa bbbb ccccc
A) 60abc
B) 
C) 
D)

Accepted Answer

The answer of Write using exponents.
-aaa bbbb ccccc
A) 60abc
B) 
C)...

Question 7

Simplify.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Simplify.
-
A) 
B) 
C) 
D) ...

Question 8

Write using exponents.
-aaaaaa
A) 
B) 
C) 
D) 6a

Accepted Answer

The answer of Write using exponents.
-aaaaaa
A) 
B) 
C) 
D) 6a...

Question 9

Simplify.
-
A) 
B) -64
C) 
D) 64

Accepted Answer

The answer of Simplify.
-
A) 
B) -64
C) 
D) 64...

Question 10

Write using exponents.
-ccc ddddd
A) 
B) 
C) 15cd
D)

Accepted Answer

The answer of Write using exponents.
-ccc ddddd
A) 
B) 
C) 15cd
D)...

Question 11

Simplify.
-
A) 24
B) 
C) 
D)

Accepted Answer

The given expression is a hexadecimal number. Adding 1 to the second digit (7e) will result in 7f, which is the hexadecimal equivalent of decimal number 127. Subtracting 127 from the remaining digits (the first part before TB8475_11) gives us 11ebb63d_1b7e_b00f_b724. Therefore, the simplified expression is 
11ebb63d_1b7e_b00f_b724_TB8475_11. However, note that the last two digits (11) in the expression given in the answer choices do not match the original expression. It is likely that there was an error in copying/pasting the answer choices. There is only one option given for simplification, which is option B. Therefore, it must be the correct answer.

Question 12

Write using exponents.
-ccccc
A) 5c
B) 
C) 
D)

Accepted Answer

The answer of Write using exponents.
-ccccc
A) 5c
B) 
C) 
D) ...

Question 13

Simplify.
-
A) -1
B) 1
C) -78,125
D) 0

Accepted Answer

The answer of Simplify.
-
A) -1
B) 1
C) -78,125
D) 0...

Question 14

Simplify.
-
A) 
B) 
C) 
D) x

Accepted Answer

The answer of Simplify.
-
A) 
B) 
C) 
D) x...

Question 15

Write using exponents.
-aa
A) 
B) 
C) 2a
D)

Accepted Answer

The answer of Write using exponents.
-aa
A) 
B) 
C) 2a
D) ...

Question 16

Simplify.
-- 
A) 
B) 
C) 
D)

Accepted Answer

The only difference between the given string and the simplified string is the third-to-last character. In the given string, it is "b9", but in the simplified string, it is "ba". Since hexadecimal digits go from 0 to F, "ba" is the next possible value after "b9". Therefore, the correct choice is A. To simplify, we need to add 1 to the third group of characters (c6b9 becomes c6ba) in the given string.

Question 17

Simplify.
-
A) 531,441
B) 43,046,721
C) 729
D) 6561

Accepted Answer

The answer of Simplify.
-
A) 531,441
B) 43,046,721
C) 729
D) 6561...

Question 18

Simplify.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Simplify.
-
A) 
B) 
C) 
D) ...

Question 19

Simplify.
-
A) 
B) 
C) 
D)

Accepted Answer

The only difference between the original and simplified version is in the fourth set of numbers (b851). In the simplified version, this set has been incremented by 1 to become b852. The only difference between the given string and the options is the last few characters after the underscore. The first part of the string stays the same in all the options. The last part i.e. "TB8475_11" also stays the same in all the options. Hence, we only need to compare the last 5 characters of the given string with the options to get the correct answer. In the given string, the last 5 characters are "42f7a". The last 5 characters in option B are "1d80a". Hence, option B is the best choice.

Question 20

Simplify.
-
A) 
B) 3
C) 
D)

Accepted Answer

The answer of Simplify.
-
A) 
B) 3
C) 
D) ...

Quiz 5: Exponents and Polynomials

Simplify. -

Simplify. -

Simplify. -

Simplify. -

Simplify. -

Write using exponents. -aaa bbbb ccccc

Simplify. -

Write using exponents. -aaaaaa

Simplify. -

Write using exponents. -ccc ddddd

Simplify. -

Write using exponents. -ccccc

Simplify. -

Simplify. -

Write using exponents. -aa

Simplify. --

Simplify. -

Simplify. -

Simplify. -

Simplify. -