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Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #401 : Exponents

Evaluate:

$17^{20}\div17^5$

Possible Answers:

$17^{15}$

$289^{15}$

$17^{25}$

17^4

289^4

Correct answer:

$17^{15}$

Explanation:

When dividing with exponents with the same base, you just subtract the exponents and keep the base the same.

$17^{20}\div17^5=17^{20-5}=17^{15}$

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Example Question #402 : Exponents

Evaluate:

$20^{24}\div20^{-3}$

Possible Answers:

$400^{21}$

$20^{21}$

$20^{27}$

$400^{27}$

$20^{-72}$

Correct answer:

$20^{27}$

Explanation:

When dividing with exponents with the same base, you just subtract the exponents and keep the base the same.

$20^{24}\div20^{-3}=20^{24-(-3)}=20^{27}$

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Example Question #403 : Exponents

Evaluate:

$12^{9}*12^{-4}$

Possible Answers:

$144^{5}$

$12^{-5}$

$12^{-36}$

$144^{-36}$

12^5

Correct answer:

12^5

Explanation:

When multiplying exponents with same base, we just add the exponents and keep the base the same.

$12^{9}*12^{-4}=12^{9+(-4)}=12^5$

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Example Question #404 : Exponents

Evaluate:

$11^{-18}*11^{11}$

Possible Answers:

$121^{-7}$

11^7

$11^{-7}$

$121^{-198}$

$11^{-198}$

Correct answer:

$11^{-7}$

Explanation:

When multiplying exponents with same base, we just add the exponents and keep the base the same.

$11^{-18}*11^{11}=11^{-18+11}=11^{-7}$

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Example Question #405 : Exponents

Evaluate:

$21^{17}\div21^9$

Possible Answers:

$441^{8}$

$21^{26}$

$441^{26}$

21^8

$21^{26}$

Correct answer:

21^8

Explanation:

When dividing exponents with the same base, we just subtract the exponents and keep the base the same.

$21^{17}\div21^9=21^{17-9}=21^8$

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Example Question #406 : Exponents

Evaluate:

$7^{-45}\div7^{23}$

Possible Answers:

$49^{-28}$

$7^{-68}$

$7^{22}$

$49^{-68}$

$7^{-22}$

Correct answer:

$7^{-68}$

Explanation:

When dividing exponents with the same base, we just subtract the exponents and keep the base the same.

$7^{-45}\div7^{23}=7^{-45-23}=7^{-68}$

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Example Question #407 : Exponents

Evaluate:

$16^{10}\div16^{-12}$

Possible Answers:

$16^{120}$

$16^{22}$

$16^{-120}$

$256^{22}$

$16^{-2}$

Correct answer:

$16^{22}$

Explanation:

When dividing exponents with the same base, we just subtract the exponents and keep the base the same.

$16^{10}\div16^{-12}=16^{10-(-12)}=16^{22}$

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Example Question #408 : Exponents

Evaluate:

15^4*15^7

Possible Answers:

$30^{11}$

$15^{11}$

$225^{11}$

$15^{28}$

$225^{28}$

Correct answer:

$15^{11}$

Explanation:

When multiplying exponents with same base, we just add the exponents and keep the base the same.

$15^4*15^7=15^{4+7}=15^{11}$

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Example Question #409 : Exponents

Simplify:

19^7*19^7

Possible Answers:

$19^{14}$

$361^{49}$

$361^{14}$

19^8

$19^{49}$

Correct answer:

$19^{14}$

Explanation:

When we multiply exponents with the same base, we can simply add the exponents while keeping the base the same.

Therefore:

$19^7*19^7=19^{7+7}=19^{14}$

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Example Question #410 : Exponents

Evaluate:

77^7*77^9

Possible Answers:

$77^{63}$

$77^{12}$

$7^{63}$

$77^{16}$

$7^{167}$

Correct answer:

$77^{16}$

Explanation:

When we multiply exponents with the same base, we can simply add the exponents while keeping the base the same.

Therefore:

$77^7*77^9=77^{7+9}=77^{16}$

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Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #401 : Exponents

Example Question #402 : Exponents

Example Question #403 : Exponents

Example Question #404 : Exponents

Example Question #405 : Exponents

Example Question #406 : Exponents

Example Question #407 : Exponents

Example Question #408 : Exponents

Example Question #409 : Exponents

Example Question #410 : Exponents

All Algebra II Resources

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