Power of a Product: Combination of different bases

Insert the corresponding expression:

$10^{12}\times9^6\times9^{12}=$

$\left(10\times9\right)^{12}\times9^6$

Insert the corresponding expression:

$20^2\times4^3\times2^2=$

$\left(20\times2\right)^2\times4^3$

Insert the corresponding expression:

$2^4\times4^5\times6^4=$

$\left(2\times6\right)^4\times4^5$

Insert the corresponding expression:

$8^7\times8^8\times9^7=$

$\left(8\times9\right)^7\times8^8$

Insert the corresponding expression:

$$$10^6\times4^4\times5^6=$

$\left(10\times5\right)^6\times4^4$

Reduce the following equation:

$2^7\times20^7\times3^7\times5^7\times8^2\times11^2=$

$\left(8\times11\right)^2\times\left(2\times20\times3\times5\right)^7$

Reduce the following equation:

$3^{11}\times12^4\times6^9\times4^9\times4^4\times7^9=$

$3^{11}\times\left(12\times4\right)^4\left(6\times4\times7\right)^9$

Reduce the following equation:

$7^6\times13^2\times4^2\times8^7\times9^2=$

$7^6\times\left(13\times4\times9\right)^2\times8^7$

Reduce the following equation:

$5^5\times4^{11}\times2^5\times5^{11}=$

$\left(5\times2\right)^5\times\left(4\times5\right)^{11}$

Reduce the following equation:

$5^5\times4^{11}\times2^5\times5^{11}\times3^{11}=$

$\left(5\times2\right)^5\times\left(4\times5\times3\right)^{11}$

Reduce the following equation:

$8^{25}\times7^3\times10^3\times5^{25}\times5=$

$\left(8\times5\right)^{25}\times\left(7\times10\right)^3\times5$

Simplify the following equation:

$2^7\times20^4\times3^4\times5^7\times8^2\times11^2=$

$\left(2\times5\right)^7\left(20\times3\right)^4\left(8\times11\right)^2$

Reduce the following equation:

$25^{20}\times7^{25}\times10^{25}\times5^{25}=$

$25^{20}\times\left(7\times10\times5\right)^{25}$

Reduce the following equation:

$2^8\times17^{23}\times2^{23}\times8^8\times4^8=$

$\left(17\times2\right)^{23}\times\left(2\times8\times4\right)^8$

Reduce the following equation:

$3^1\times3^2\times3^3\times4^1\times4^2\times4^3=$

$\left(3\times4\right)^1\left(3\times4\right)^2\left(3\times4\right)^3$

Reduce the following equation:

$3^3\times12^4\times6^9\times4^3\times4^4\times7^9=$

$\left(3\times4\right)^3\times\left(12\times4\right)^4\times\left(6\times7\right)^9$

$3^9\times12^4\times6^9\times4^9\times4^4\times7^9=$

$\left(3\times6\times4\times7\right)^9\times\left(12\times4\right)^4$