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Leto [7]
3 years ago
14

Choose the correct simplification of the expression f4 • f8.

Mathematics
2 answers:
erica [24]3 years ago
3 0

Answer:

F38

Step-by-step explanation:

Mama L [17]3 years ago
3 0

Question

Choose the correct simplification of the expression f^{4} * f^{8}

Answer:

f^{4} * f^{8} = f^{12}

Step-by-step explanation:

Topic: Indices

There are two methods of doing this;

<em><u>Method 1</u></em>

f^{4} * f^{8} ----- Expand both indices

= (f * f * f * f) * (f * f * f * f * f * f * f * f) -- The total number of f is 12, so we have

= f^{12}

So, f^{4} * f^{8} = f^{12}

This method is not advisable when dealing with a large indices; hence, the need for method 2.

<em><u>Method 2</u></em>

Applying law of indices;

The first law of indices

The first law of indices states: a^{m} * a^{n} = a^{m+n}.

This means that when numbers in index form with the same base are multiplied by each other, the powers (indices) are added together.

Applying this law on f^{4} * f^{8}

f^{4} * f^{8} = f^{4 + 8}

f^{4} * f^{8} = f^{12}

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=====================================

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