Answer:
5^15
Step-by-step explanation:
Using the laws of powers, you can multiply 5^3 out of its bracket and get 5^27. Then, once again, using the laws of powers, you can get 5^15 by subtracting the powers.
(5^3)^9/5^12 is equivalent to 5^15
Begin by simplifying (5^3)^9
To make it much easier, apply the power rule. (a^x)^y = a^xy)
Multiply 3 x 9 = 27... so we get 5^27
Next, instead of dividing 27/12, which will result in a decimal..you must do 27-12, which is applying the quotient rule. (a^x / a^y = a^x-y)
5^27/5^12 = 5^27-12 = 5^15
( When I use /, it signifies to divide.)
So, (5^3)^9/5^12 is equivalent to 5^15! Hope this helps! :D
Try this option:
answer is 18.
For more information see the attached picture.
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