The Laws of Indices (Leaving Cert Mathematics): Quizzes

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The Laws of Indices
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In the expression 232^3, what is the number 2 called?

The base

What is x2×x3x^2 × x^3 equal to?

x5x^5

What is x5x2\frac{x^5}{x^2} equal to?

x3x^3

What is (x4)3(x^4)^3 equal to?

x12x^{12}

What does 505^0 equal?

11

What does a negative index mean?

Take the reciprocal, make index positive

What is 4−24^{-2} equal to?

116\frac{1}{16}

What does 2122^{\frac{1}{2}} equal?

2\sqrt{2}

What is 8238^{\frac{2}{3}} equal to?

44

What is 34×3235\frac{3^4 × 3^2}{3^5} equal to?

33

What is the value of 000^0?

Undefined

When can you apply the laws of indices?

When the bases are the same

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