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Please help me with this question asap

Please help me with this question asap-example-1
User Zyzle
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2 Answers

18 votes
18 votes

Answer:

-19,683

Explanation:

when we do it in 1 step, the exponent of an exponent is just the multiplication of both exponents, leading in our case to the exponent

3×-3 = -9

so, we have

(-1/3)^(-9) = 1 / (-1/3)⁹ = 1 / (-1/19,683) = -19,683

we keep the "-", because the exponent (9) is uneven (= odd). only even exponents turn everything into positive numbers. uneven exponents keep the original sign.

we could do it also in 2 steps :

(-1/3)³ = -1/27

again we keep the "-", because 3 is uneven/ odd.

and now that result we put to the power of -3.

that "-" on the exponent means 1/...

so,

(-1/27)^-3 = 1 / (-1/27)³ = -27³ = -19,683

again, the exponent 3 is uneven/ odd.

User Ben Thomson
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2.9k points
14 votes
14 votes

Answer: -19683

Explanation:

User Lilian
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2.8k points