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3 years ago

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Solve for x. 6^-2x • 6^-x = 1/216

2 answers:

belka [17]3 years ago

8 0

Answer: x=1

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Step-by-step explanation: Negative power rule, quotient rule, then you'll simplify. After that use the negative power rule and multiply both sides by 6^3x. Then simplify 1/216 and multiply both sides by 216. Simplify 1*216=216, then finally you'll put both sides on the same base and cancel the base of six on both sides. Divide both sides by 3 and you'll get 1=x. Now just switch places so the x will be first (x=1).

Negative power rule x^-a=1/x^a

Quotient rule x^a/x^b=x^a-b

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P.S. if you want me to right out on paper how I did it if it would be easier for you to visually see the text to learn it then it would be my pleasure! Math is hard so I'm happy to help more with this problem!

HOPE THIS HELPS, HAVE A BLESSED DAY! :-) ;-)

<h2>꒰⑅•ᴗ•⑅꒱</h2>

Molodets [167]3 years ago

5 0

6^-2x • 6^-x = 1/216

x=1 is the answer

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