Question

Which law of exponents did carter use to find his answer ?

Answer 1

The question given is

`7^8=343*16,807`

Concept:

We are dealing with a base of 7, so from the table, we can see that

`\begin{gathered} 7^3=343 \\ 7^5=16,807 \end{gathered}`

Therefore,

we will have that

`7^3*7^5=7^(3+5)=7^8`

The question above are worked based on the principle of addition law of indices which states that

When expressions with the same base are multiplied, the indices are added. You could verify this by evaluating both sides separately. When expressions with the same base are divided, the indices are subtracted.

Hence,

The right answer is given below as

`a^(m+n)=a^ma^n`

The THIRD OPTION is the final answer