Question
(-3)^2(-3)^-5 simplified
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Answered by
GPT 3.5
To simplify the expression (-3)^2(-3)^-5, we can first simplify each factor separately, and then multiply the results.
Starting with (-3)^2, we know that a negative base raised to an even power will result in a positive value. Thus, (-3)^2 = 9.
Next, we simplify (-3)^-5. When a negative base is raised to a negative power, we can rewrite it as the reciprocal of the base raised to the positive power. Therefore, (-3)^-5 = 1/(-3)^5.
Putting it all together, we have 9 * 1/(-3)^5.
Now, we can simplify (-3)^5. This is equal to -3 * -3 * -3 * -3 * -3 = -243.
Thus, the expression simplifies to 9 * 1/(-243).
Lastly, we can simplify 1/(-243) by multiplying both the numerator and denominator by -1:
1/(-243) = -1/243.
In conclusion, (-3)^2(-3)^-5 simplifies to -9/243.
Starting with (-3)^2, we know that a negative base raised to an even power will result in a positive value. Thus, (-3)^2 = 9.
Next, we simplify (-3)^-5. When a negative base is raised to a negative power, we can rewrite it as the reciprocal of the base raised to the positive power. Therefore, (-3)^-5 = 1/(-3)^5.
Putting it all together, we have 9 * 1/(-3)^5.
Now, we can simplify (-3)^5. This is equal to -3 * -3 * -3 * -3 * -3 = -243.
Thus, the expression simplifies to 9 * 1/(-243).
Lastly, we can simplify 1/(-243) by multiplying both the numerator and denominator by -1:
1/(-243) = -1/243.
In conclusion, (-3)^2(-3)^-5 simplifies to -9/243.
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