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How do you simplify #((7c^2)(-6c^3))/(21c^4)# and what are the excluded values for the variables?

Answer 1

Savannah Anderson

#-2c#

Given that

#\frac{(7c^2)(-6c^3)}{21c^4}#

#=-\frac{7\cdot 6}{21}(c^{2+3-4})#

#=-2c#

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Answer 2

Hazel Anglin

Multiply the numbers together and add the powers

#[-42c^5]/(21c^4)#

Divide by 21

#[-2c^5]/c^4#

Divide by #c^4# (subtract the powers)

-2c

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Answer 3

Isaiah Anthony

To simplify ((7c^2)(-6c^3))/(21c^4), we can divide the coefficients and subtract the exponents of the variables.

The simplified expression is -2c^(-5).

The excluded value for the variable c is 0, as division by zero is undefined.

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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.