Write one crore in the standard form.

The reciprocal of ${\left(-5\right)}^7÷{\left(-5\right)}^4$ is equal to

Simplify:

$\frac{1^0+2^0-3^0\times 4^0÷5^0}{1^0\times 2^0÷3^0\times 4^0}$

If $a=-\frac{1}{2}$ and $b=\frac{1}{3}$, then find the value of ${\left(3a^3{b}^2\right)}^3$

If ${\left(\frac{x}{y}\right)}^2={\left(\frac{7}{9}\right)}^5÷{\left(\frac{7}{9}\right)}^3,$ then find ${\left(\frac{y}{x}\right)}^3$

If $a=3$ and $b=4$, then find the value of ${\left(\frac{1}{a}+\frac{1}{b}\right)}^a+{\left(\frac{a}{b}\right)}^b$

If ${49}^{2n-1}={\left(343\right)}^6$, then find the value of $5^{3n-13}$.

Evaluate:

$\left[{\left(-\frac{2}{5}\right)}^2\times {\left(\frac{5}{7}\right)}^2\times \frac{49}{5}\right]÷\left[{\left(\frac{-4}{5}\right)}^3\times {\left(\frac{5}{2}\right)}^2\times \frac{1}{4}\right]$

Find the value of $x$ in $5^{x-2}\times 3^{2x-3}=135$.