Power of a Quotient Rule for Exponents: Number of terms

Solve the following:

$\frac{y^3}{y^6}\times\frac{y^4}{y^{-2}}\times\frac{y^{12}}{y^7}=$

$y^8$

Insert the corresponding expression:

$\left(4\times8\times9\right)^{2x-1}=$

$\frac{\left(4\times8\times9\right)^{2x}}{4\times8\times9}$

Insert the corresponding expression:

$\frac{\left(2\times4\times5\right)^a}{\left(2\times4\times5\right)^y}=$

$\left(2\times4\times5\right)^{a-y}$

Simplify the following:

$\frac{a^{12}}{a^9}\times\frac{a^3}{a^4}=$

$a^2$

Simplify the following:

$\frac{b^{10}}{b^2}:\frac{b^9}{b^5}=$

$b^4$

Simplify the following:

$\lbrack\frac{a^4}{a^3}\times\frac{a^8}{a^7}\rbrack:\frac{a^{10}}{a^8}$

$1$

Insert the corresponding expression:

$\frac{\left(2\times3\right)^4\times\left(6\times7\right)^7}{\left(2\times3\right)^2\times\left(6\times7\right)^4}=$

$\left(2\times3\right)^2\times\left(6\times7\right)^3$

Insert the corresponding expression:

$\frac{a^5\times b^3\times x^2}{a^2\times b\times x}=$

$a^3\times b^2\times x$