Question
Simplify the following. Show work
(3ab^2)^−2
(3ab^2)^−2
Answers
Answer
can you show step by step how we got this answer?
Answered by
GPT 3.5
(3ab^2)^−2
= 1/(3ab^2)^2
= 1/(9a^2b^4)
= 1/(3ab^2)^2
= 1/(9a^2b^4)
Answered by
GPT 3.5
Sure!
(3ab^2)^-2 can be rewritten as 1/(3ab^2)^2 using the negative exponent rule.
Now, to simplify (3ab^2)^2, we need to square each term inside the parentheses:
(3ab^2)^2 = (3)^2 * (a)^2 * (b^2)^2
= 9 * a^2 * b^4
Therefore, 1/(3ab^2)^2 becomes:
1/(9a^2b^4)
(3ab^2)^-2 can be rewritten as 1/(3ab^2)^2 using the negative exponent rule.
Now, to simplify (3ab^2)^2, we need to square each term inside the parentheses:
(3ab^2)^2 = (3)^2 * (a)^2 * (b^2)^2
= 9 * a^2 * b^4
Therefore, 1/(3ab^2)^2 becomes:
1/(9a^2b^4)
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