Simplify.
Rewrite the expression in the form 5".
(5^-8)(5^-10) =

Question

contestada

Respuesta :

luisejr77 luisejr77 · Answer 1 · 2019-09-21T19:22:36+02:00

Answer:

[tex]5^{-18}[/tex] (It can also be written as [tex]\frac{1}{5^{18}}[/tex])

Step-by-step explanation:

For this exercise you need to remember a property called "Product of powers property", which states the following:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

Therefore, given the following expression provided in the exercise:

[tex](5^{-8})(5^{-10})[/tex]

You need to apply the property mentioned before (Product of powers property) in order to simplify it.

But first, it is very important to remember the multiplication of signs:

[tex](+)(+)=+\\(+)(-)=-\\(-)(-)=+[/tex]

Then, you get that:

[tex](5^{-8})(5^{-10})=5^{(-8+(-10)=}=5^{(-8-10)}=5^{-18}[/tex]

(It can also be written as [tex]\frac{1}{5^{18}}[/tex]))

xero099 xero099 · Answer 2 · 2022-02-17T11:31:45+01:00

The expression [tex]5^{-8}\cdot 5^{-10}[/tex] in equivalent [tex]5^{-18}[/tex].

In this question we should make use of the following property to simplify expression:

[tex]x^{m}\cdot x^{n} = x^{m+n}[/tex]

Hence, we proceed to simplify as follows:

[tex](5^{-8})\cdot (5^{-10})=5^{-10-8}=5^{-18}[/tex]

The expression [tex]5^{-8}\cdot 5^{-10}[/tex] in equivalent [tex]5^{-18}[/tex]. [tex]\blacksquare[/tex]

Statement presents typing mistakes, correct form is described below:

Simplify. Rewrite the expression in the form of [tex]5^{x}[/tex]. [tex]5^{-8}\cdot 5^{-10}=[/tex]

To learn more on powers, we kindly invite to check this verified question: https://brainly.com/question/25755578