Exponent Rules flashcards

Question 1

Simplify t^5 · t^3.

Accepted Answer

t^8

Question 2

Simplify x^2 · x^5 · x^3.

Accepted Answer

x^10

Question 3

Simplify t^23 / t^15.

Accepted Answer

t^8

Question 4

Simplify (x^2)^7.

Accepted Answer

x^14

Question 5

Simplify ((−3)^5)^11.

Accepted Answer

(−3)^55

Question 6

Which operation on exponents goes with 5^3 · 5^4: adding or multiplying?

Accepted Answer

Adding: 5^3 · 5^4 = 5^7.

Question 7

Which operation on exponents goes with (5^3)^4: adding or multiplying?

Accepted Answer

Multiplying: (5^3)^4 = 5^12.

Question 8

What does the zero exponent rule say a^0 equals, for a nonzero a?

Accepted Answer

a^0 = 1

Question 9

Simplify c^3 / c^3 using the zero exponent rule.

Accepted Answer

1

Question 10

Simplify −3x^5 / x^5.

Accepted Answer

−3

Question 11

What does the negative exponent rule say a^(−n) equals, for a nonzero a?

Accepted Answer

a^(−n) = 1/a^n

Question 12

Write θ^3 / θ^10 with a positive exponent.

Accepted Answer

1/θ^7

Question 13

Simplify b^2 · b^(−8) and write it with a positive exponent.

Accepted Answer

1/b^6

Question 14

What does the power of a product rule say (ab)^n equals?

Accepted Answer

(ab)^n = a^n · b^n

Question 15

Simplify (ab^2)^3.

Accepted Answer

a^3 b^6

Question 16

Simplify (−2w^3)^3.

Accepted Answer

−8w^9

Question 17

Simplify (p/q^3)^6.

Accepted Answer

p^6 / q^18

Question 18

Simplify (−3)^5 · (−3).

Accepted Answer

(−3)^6

Question 19

Simplify (−2)^14 / (−2)^9.

Accepted Answer

(−2)^5

Question 20

Simplify (z^2)^5 / z^2.

Accepted Answer

(z^2)^4

Question 21

Simplify ((2t)^5)^3.

Accepted Answer

(2t)^15

Question 22

Simplify (−5t^3)^4 / (−5t^3)^8 and write it with a positive exponent.

Accepted Answer

1/(−5t^3)^4

Question 23

Simplify (−x)^5 · (−x)^(−5).

Accepted Answer

1

Question 24

Simplify (e^(−2) f^2)^7 and write it with positive exponents.

Accepted Answer

f^14 / e^14

Question 25

Simplify (−1/t^2)^27.

Accepted Answer

−1/t^54

Exponent Rules flashcards

The cards

How this deck was checked

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Exponent Rules flashcards

The cards

How this deck was checked

Sources

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