If $x+z = 2y$ and $b^2=ac$, then prove that $a^{\left(y-z\right)}\times b^{\left(z-x\right)}\times c^{\left(x-y\right)}=1$

If $a, m \mathrm{and} n$ are rational numbers, then $a^m\times a^n=a^p$. Then the value of $p=$_____.

Write the following as exponents of its prime factors.

$1200$

Find the value of $p$:

 ${\left(\frac{6}{13}\right)}^p\times {\left(\frac{6}{13}\right)}^4={\left(\frac{6}{13}\right)}^{-4}$

Fill in the blank with $>, <$ or $=$.

$2^3\times 3^3$_____$6^3$

Find the value of the following.

Answer the following.

What is $0.00005$ in scientific notation?

Find the value of $m$ in the following. 

${16}^{2m}=4^{3m+4}$

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

The value of $3^{-7}\times 9^2$ is