How do you simplify #(1/16)^(-3/4)#?

Answer 1

#(1/16)^(-3/4)=8#

The following guidelines can be applied to determine this:

#x^(-1)=1/x#
#(x^a)^b=x^(ab)#

Now that we're working, let's apply the second rule first:

#(1/16)^(-3/4)#
#16^(3/4)#
Notice that #16=2^4#
#(2^4)^(3/4)#
#2^(4xx3/4)#
#2^3=8#
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Answer 2

To simplify (1/16)^(-3/4), you can first reciprocate the base, which will change the exponent's sign. So, (1/16)^(-3/4) becomes (16)^3/4. Then, apply the power of a power rule, which means raising the base to the power of the numerator and taking the root indicated by the denominator. In this case, (16)^3/4 simplifies to 4.

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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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