Question

Choose the correct simplification of the expression f4 • f8.

Answer 1

Answer:

F38

Step-by-step explanation:

Answer 2

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;

Method 1

$f^{4} * f^{8}$ ----- 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.

Method 2

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 $f^{4} * f^{8}$

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

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