Question

Express the following in exponential notation: (-4) x ... x (-4) 11 times

Answer 1

Given:

The expression is:

$(-4)\times ...\times (-4) (11\text{ times})$

To find:

The exponential notation for the given expression.

Solution:

We know that

$a\times a\times ...\times a(n\text{ times})=a^n$         ...(i)

We have,

$(-4)\times ...\times (-4) (11\text{ times})$

Using (i), the given expression can be written as:

$(-4)\times ...\times (-4) (11\text{ times})=(-4)^{11}$

Therefore, the exponential notation of the given expression is $(-4)^{11}$.