Laws of Exponents

Express in power notation: $\frac{-343}{ 512}$

By what number should $4^{-1}$ be multiplied to get ${12}^{-1}$?

Solve: $\left[\right({5^{-2})}^5\times 5^{15}]÷5^{-28}$

If $({p^4)}^{-3}=p^k$,then $k=$_____

By what number should $(17{)}^{-1}$ be multiplied so that the product is ${51}^{-1}$?

Write the expression $3^3\times 3^3÷3^2$ in exponential form.

Express in exponential notation with a positive exponent: $-2^{-4}$ 

Find the reciprocal of ${\left(\frac{1}{5}\right)}^{-3}$ 

Find the value of ${\left[{\left(\frac{3}{4}\right)}^2\right]}^4÷{\left[{\left(\frac{3}{4}\right)}^2\right]}^4$.

Find the value of ${\left[{\left(-1\right)}^3\right]}^6$.

Simplify:

$4\times 5\times {20}^2$

Simplify:

$4^2\times {\left(-5\right)}^3\times 3$

Simplify:

$7^2\times 2^2\times {\left(-5\right)}^2$

Simplify:

${\left(-2\right)}^3\times {\left(3\right)}^2\times 5$

Simplify:

${\left(-12\right)}^2\times {\left(-4\right)}^3$

Find the values of ${12}^2$.

Compare the following numbers:

${10}^2$ and $5^4$

The value of $\left(7^0+5^0\right)$ is _____.

Find the value of $x$ if $(4^{-1}+6^{-1})\times 24=x-1$

Find the value of $\frac{4^3}{3^3}\times \frac{2^{-2}}{3^{-2}}\times \frac{4^{-2}}{2^{-3}}\times \frac{9}{12}$.