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BECE Mathematics 2011 Paper

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Question : 9

Total: 40

Simplify

3^9+3^3

$3^{27}$
$3^{12}$
$3^6$
$3^3$

Solution:

Concept:

Use the quotient law of indices: when dividing powers with the same base, subtract the exponents.

Explanation:

For the same base

a

,

\frac{a^m}{a^n} = a^{m-n}

.

Here, the base is

3

in both the numerator and the denominator.

So,

\frac{3^9}{3^3} = 3^{9-3}

.

Subtract the indices:

9 - 3 = 6

.

Therefore,

\frac{3^9}{3^3} = 3^6

.

Answer:

Option C:

3^6

.

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