How do you simplify #(-2ab)^3(ac^3)(11bc^2)#?

Answer 1

#color(red)((-2ab)^3(ac^3)(11bc)^2 = -968a^4b^5c^5)#

#(-2ab)^3(ac^3)(11bc)^2#

You must first apply the outside exponent to everything inside the parentheses.

#(-2ab)^3(ac^3)(11bc)^2 = (-2)^3a^3b^3 × ac^3 × (11)^2b^2c^2#
#= -8a^3b^3 × ac^3 × 121b^2c^2 #

Next, we combine like terms.

#-8a^3b^3 × ac^3 × 121b^2c^2#
#= (-8×121) × (a^3 × a) × (b^3 × b^2) × (c^3 × c^2)#

Now we combine the terms in parentheses again.

Remember that #x^mx^n = x^(m+n)#
#(-8×121) × (a^3 × a) × (b^3 × b^2) × (c^3 × c^2) = -968a^4b^5c^5#
∴ #(-2ab)^3(ac^3)(11bc)^2 = -968a^4b^5c^5 #
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Answer 2

To simplify the expression (-2ab)^3(ac^3)(11bc^2), you first apply the exponent to (-2ab), which results in -8a^3b^3. Then you multiply each term together, which gives you -8a^4b^4c^6(11bc^2), simplifying further to -88a^4b^5c^8.

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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.

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.

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.

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.

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