Multiplication of Powers: Variables in the exponent of the power

$3^x\cdot2^x\cdot3^{2x}=$

$3^{3x}\cdot2^x$

$2^{2x+1}\cdot2^5\cdot2^{3x}=$

$2^{5x+6}$

$4^{2y}\cdot4^{-5}\cdot4^{-y}\cdot4^6=$

$4^{y+1}$

$7^{2x+1}\cdot7^{-1}\cdot7^x=$

$7^{3x}$

Reduce the following equation:

$10^{a+b}\times10^{a+1}\times10^{b+1}=$

$10^{2b+2a+2}$

Reduce the following equation:

$2^a\times2^2=$

$2^{a+2}$

Reduce the following equation:

$4^x\times4^2\times4^a=$

$4^{x+2+a}$

Reduce the following equation:

$$$5^{2x}\times5^x=$

$5^{2x+x}$

Reduce the following equation:

$$$5^a\times5^{2a}\times5^{3a}=$

$5^{a+2a+3a}$

Reduce the following equation:

$$$8^a\times8^2\times8^x=$

$8^{a+2+x}$

$4^x\times4^x=$

$4^{x+x}$

$$$3^4\times3^x=$

$3^{4+x}$

$$$5^2\times5^a\times5^3=$

$5^{5+a}$

$$$7^{x+1}\times7^x=$

$7^{2x+1}$

Expand the following equation:

$2^{2a+a}=$

$2^{2a}\times2^a$

Expand the following equation:

$3^{2a+x+a}=$

$3^{2a}\times3^x\times3^a$

Expand the following equation:

$4^{a+b+c}=$

$4^a\times4^b\times4^c$

Expand the following equation:

$7^{2x+7}=$

$7^x\times7^{x+7}$

Expand the following equation:

$g^{10a+5x}=$

$g^{5a+5x}\times g^{5a}$

Reduce the following equation:

$a^{-3x}\times a^b\times a^b=$

$a^{-3x+2b}$