Powers with Negative Exponents

Simplify $\left[{\left(\frac{1}{4}\right)}^{-3}-{\left(\frac{1}{3}\right)}^{-3}\right]÷{\left(\frac{1}{4}\right)}^{-2}$

Find the reciprocal of $3^4-3^0\times 2^4$.

The multiplicative inverse of $(3{)}^{-7}$ is $3^7$.

If the simplest form of the reciprocal of ${\left(\frac{1}{4}\right)}^{-1}$ is $\frac{a}{b}$, then find $a+b$

Find the reciprocal of:
${\left(\frac{3}{4}\right)}^{-3}$

If the simplest form of the reciprocal of ${\left(\frac{6}{5}\right)}^2$ is $\frac{a}{b}$, then find $a+b$

Verify the each of the following using the laws of exponents.

Simplify the value of ${\left(\frac{3}{4}\right)}^{-3}$as in the form $\frac{m}{n}$ and then find the value of $m+n$

If the reciprocal of ${\left(\frac{ab}{bd}\right)}^{-5}$ is of the form $\frac{a^k{b}^m}{d^k}$, then find the value of $\left(k+m\right)$.

If the reciprocal of ${\left(\frac{1}{abc}\right)}^4$ is of the form $a^k{b}^k{c}^k$, then find the value $k$.

Evaluate the reciprocal of the following.
${\left(\frac{1}{3}\right)}^3$

If the reciprocal of ${\left(\frac{x^4{y}^6}{a^2{b}^7}\right)}^{-3}$ is of the form $\frac{x^p{y}^q}{a^r{b}^s}$, then find the value of $p+q+r+s$.

Write down the reciprocal of the following.
${\left(\frac{3}{7}\right)}^{-4}$

If the reciprocal of $6^3$ is $6^k$, then find $k$

If the simplest form of the reciprocal of ${\left(\frac{3}{4}\right)}^2$ is ${\left(\frac{a}{b}\right)}^n$, then find $b-a+n$.

If the reciprocal of ${\left(\frac{-2}{3}\right)}^{-3}$ is of the form ${\left(\frac{k}{3}\right)}^m$, then find the value of $k+m$.

If the reciprocal of ${\left(\frac{2}{3}\right)}^4$ is ${\left(\frac{a}{b}\right)}^m$, where $\frac{a}{b}$ is in the simplest form, then find $\frac{m}{b}+a$. 

Write the multiplicative inverse of the following with a negative exponent.

What is the multiplicative inverse of ${\left(\frac{9}{8}\right)}^4$?