How do you simplify #b^3(m^-3)(b^-6)#?

Answer 1

When a number has a negative exponent, it becomes its reciprocal.

The negative number will move to the denominator if it is in the numerator and to the numerator if it is in the denominator.

Like so

#b^3*(m^-3)*(b^-6)#
# = b^3*1/m^3*1/b^6#
#= cancelb^3*1/m^3* 1/(cancelb^6 b^3)#
#=1/(m^3b^3)#
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Answer 2

#1/(b^3m^3)#

Exponent rules are relatively easy to understand, though they can be a little challenging at first.

You must at the very least be familiar with the Product Rule and the Negative Exponent Rule in order to solve your problem.

According to the Negative Exponent Rule:

#x^-n = 1/x^n#

According to the Product Rule:

#x^a*x^b=x^(a+b)#
So, if you have #b^3(m^-3)(b^-6)#, then you know you have two terms for which you can use the Product Rule. We'll use that on the #b# terms.
Like so: #b^(3-6)*m^-3 = b^-3*m^-3#
Now, since #b# and #m# are different variables, they cannot combine in the Product Rule. Therefore, the only thing left to do is use the Negative Exponent Rule. As displayed in the example above, just move the two terms to the denominator and make the exponents positive, making sure to leave a #1# in the numerator.
#1/(b^3m^3)#
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Answer 3

To simplify b^3(m^-3)(b^-6), you multiply the like terms together. In this case, you combine the b terms by adding the exponents, resulting in b^(3-6). Then, you combine the m terms by multiplying the exponents, giving you m^(-3). So, the simplified expression is b^(-3)m^(-3).

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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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