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Indices and Laws Quiz

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Indices and Laws Quiz

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Brush up on exponent rules.

Created by

KU AZIZAH KU TEH
KU AZIZAH KU TEH
Malaysia

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Indices and Laws Quiz
 

Indices and Laws QuizOnline version

Brush up on exponent rules.

by KU AZIZAH KU TEH
1

If a^3 · a^5 = a^8, what rule is used here?

2

Simplify (x^4)^3.

3

Rewrite a^0.

4

Compute a^{-2} in terms of positive exponents.

5

If (ab)^3 = a^3 b^3, which rule applies?

6

Simplify a^2 · a^0.

7

If a ≠ 0, what is a^(-1)?

8

Which of these is equal to (a^5)/(a^2)?

9

True or false: (a^m)(b^m) = (ab)^m

10

Which rule applies to (a^m)^n?

Feedback

Using a^m · a^n = a^{m+n}. The exponents add when bases are the same.

(a^m)^n = a^{mn}, so 4·3 = 12.

Any nonzero base to the power 0 equals 1.

Negative exponent means reciprocal: a^{-2} = 1/a^2.

(ab)^n = a^n b^n.

Any number times a^0 = itself; a^0 = 1.

Negative first power gives reciprocal: a^{-1} = 1/a.

When bases same, subtract exponents: 5−2 = 3.

Wrong: (a^m)(b^m) = (ab)^m only when you have (ab)^m; here exponents on separate bases don’t combine that way.

(a^m)^n = a^{mn}.

 
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