HELP 10MIN LEFT GIVING BRAINLIEST TO WHO EVER ANSWER
Which is the simplified form of the expression (6^-2 x 6^5)^-3 ?

A. 6^30
B. 6^-9
C. 6^0
D. 6^-13

Respuesta :

To solve this problelm you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

[tex] [ (6^{-2})(6^{5})]^{-3} [/tex]

2. So, you must apply the exponents properties. As both bases are equal, you can sum the exponents:

[tex] (6^{3})^{-3} [/tex]

3. Now, multiply the exponent [tex] 3 [/tex] by the exponent [tex] -3 [/tex], and you obtain:

[tex] 6^{-9}
[/tex]

Therefore, the answer is: B. [tex] 6^{-9} [/tex]