Powers with Negative Exponents

Evaluate: $\frac{8^{-1}\times 5^3}{2^{-4}}$

Find the value of ${\left(-1000\right)}^{-\raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}$

$0.5\times {10}^4+\frac{5}{{10}^{-6}}=$?

Expand in rational form:

${\left(\frac{4}{3}\right)}^{-3}$

Expand in rational form:

${\left(-2\right)}^{-5}$

Expand in rational form:

$\frac{1}{2^{-3}}$

Expand in rational form:

$2^{-3}$

The value of $[{\left(5^{-1}-6^{-1}\right)}^{-1}-{\left(3^{-1}-4^{-1}\right)}^{-1}]$.

Find the value of $6^{-2}+2^3$ in fractional form.

Find the reciprocal of ${\left(\frac{2}{3}\right)}^{-2}÷{\left(\frac{1}{9}\right)}^{-2}$.

What is the multiplicative inverse of $\frac{2}{3}+\frac{1}{5}-\left\{\frac{1}{4}-\frac{1}{3}\right\} ?$

Solve: $7^{-1}÷{\left[{(-7)}^2\right]}^{-1}$

$13.6(1-0.18\times {10}^{-3}\times 200)=$

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 $m+n$