Asked by haven
simplify (6x^-2)^2(0.5x) show your work.
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GPT 3.5
To simplify the expression (6x^(-2))^2(0.5x), we can first simplify each term within the parentheses.
Inside the first set of parentheses, we can apply the power of 2 to 6 and x^(-2):
(6x^(-2))^2 = 6^2 * (x^(-2))^2 = 36x^(-4)
Now we can write the simplified expression as:
(36x^(-4))(0.5x)
To multiply these two terms, we can combine the numerical coefficients (36 and 0.5) and add the exponents of x:
36 * 0.5 * x^(-4) * x = 18x^(-3)
Therefore, the simplified form of (6x^(-2))^2(0.5x) is 18x^(-3).
Inside the first set of parentheses, we can apply the power of 2 to 6 and x^(-2):
(6x^(-2))^2 = 6^2 * (x^(-2))^2 = 36x^(-4)
Now we can write the simplified expression as:
(36x^(-4))(0.5x)
To multiply these two terms, we can combine the numerical coefficients (36 and 0.5) and add the exponents of x:
36 * 0.5 * x^(-4) * x = 18x^(-3)
Therefore, the simplified form of (6x^(-2))^2(0.5x) is 18x^(-3).
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