Question

$a^x\times a^y\times a^z$ can be written as

• A. $a^{xyz}$
• B. $a^{x+y+z}$
• C. $a^{x\times y+z}$
• D. $a^{x+y\times z}$

Answer 1

The correct option is B $a^{x+y+z}$

By the Laws of Exponents, $a^m\times a^n=a^{m+n}$

$\Rightarrow$ $a^x\times a^y\times a^z=(a^x\times a^y)\times a^z$
$=a^{x+y}\times a^z=a^{x+y+z}$