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

The following guidelines can be applied to determine this:

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

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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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