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How do you simplify #(4ab^-2)/(-3c^-2)# and write it using only positive exponents?

Answer 1

Genesis Allen

#-(4ac^2)/(3b^2)#

Given: #(4ab^-2)/(-3c^-2)#

Use the exponent rules #x^(-n) = 1/x^n " and " 1/x^(-m) = x^m#

#(4ab^-2)/(-3c^-2) = (4a)/(-3b^2c^-2) = (4ac^2)/(-3b^2)#

Negative sign: #1/(-2) = (-1)/2 = -1/2#

#(4ac^2)/(-3b^2) = -(4ac^2)/(3b^2)#

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Answer 2

Jameson Allen

To simplify the expression (4ab^-2)/(-3c^-2) and write it using only positive exponents, you can follow these steps:

Combine the constants: 4 / -3 = -4/3.
Combine the variables with the same base:
- For 'a', there's only one 'a' in the numerator, so it remains as 'a'.
- For 'b', there's one 'b' in the numerator and a negative exponent in the denominator. This means 'b^-2' in the numerator becomes 'b^2' in the denominator.
- For 'c', there's no 'c' in the numerator, so it remains as 'c^-2' in the denominator.
Put the combined terms together: (-4a*b^2) / (3c^2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.