crumdacoda20
Answered

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simplify (3s^8)^-5 write your answer using only positive exponents. help please!!

Sagot :

ASimpleEngineer

Answer:

1 / ( 243s^40 )

Step-by-step explanation:

For this problem, we need to know that a negative exponent simply can be rewritten in the opposing part of the fraction, for this case, the denominator.  So we can simplify as shown:

(3s^8)^-5

= 1 / (3s^8)^5

= 1 / 3^5 * s^8^5

= 1 / 243 * s^40

= 1 / ( 243s^40 )

Cheers.

The expression [tex]\left (3s^8 \right )^{-5}[/tex] is simplified as equal to [tex]\boldsymbol{3s^{-40}}[/tex]

Define exponent.

The amount of times an integer is multiplied on its own is referred to as an exponent.

Given expression is [tex]\boldsymbol{\left (3s^8 \right )^{-5}}[/tex]

Use the formula: [tex]\boldsymbol{\left ( a^m \right )^n=a^{mn}}[/tex] to simplify the expression.

[tex]\left (3s^8 \right )^{-5}=3s^{8\times (-5)}[/tex]

           [tex]=\boldsymbol{3s^{-40}}[/tex]

So, the expression is simplified as equal to [tex]\boldsymbol{3s^{-40}}[/tex]

Fin out more information about the expression here:

https://brainly.com/question/14083225?referrer=searchResults

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