Examples with solutions for Powers: Identify the greater value

Exercise #1

Which expression is of greater value:

Video Solution

Answer

55 5^5

Exercise #2

Which of the expressions has the highest value?

625,715,913,245 6^{25},7^{15},9^{13},2^{45}

Video Solution

Answer

65 6^5

Exercise #3

Which of the expressions below has the highest value?

74,83,102,1112 7^4,8^3,10^2,11^{\frac{1}{2}}

Video Solution

Answer

74 7^4

Exercise #4

Which is larger?

61 ——16 6^1\text{ }_{——}1^6

Video Solution

Answer

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Exercise #5

Which is larger?

52 ——25 5^2\text{ }_{——}2^5

Video Solution

Answer

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Exercise #6

Which is larger?

0100 ——1000 0^{100}\text{ }_{——}100^0

Video Solution

Answer

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Exercise #7

Which of the expressions below has the highest value?

Video Solution

Answer

124 12^4

Exercise #8

Which is larger?

(12)5 ——(0.5)5 (\frac{1}{2})^5\text{ }_{——}(0.5)^5

Video Solution

Answer

= =

Exercise #9

Which is larger?

24 ——42 2^4\text{ }_{——}4^2

Video Solution

Answer

= =

Exercise #10

Which is larger?

72 ——73 7^2\text{ }_{——}7^3

Video Solution

Answer

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Exercise #11

Which is larger?

(310)7 ——(0.3)8 (\frac{3}{10})^7\text{ }_{——}(0.3)^8

Video Solution

Answer

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Exercise #12

Which is larger?

168 ——16(2+6) 16^8\text{ }_{——}16^{(2+6)}

Video Solution

Answer

= =