Answer:
Step-by-step explanation:
Given the expression chase was asked to simplify as [tex](-3) ^ 4 * (-3) ^ 9[/tex], lets first solve and compare our solution with chases's
Using the law of indices [tex](a) ^ m * (a) ^ n = a^{m+n}[/tex]
[tex]= (-3) ^ 4 * (-3) ^ 9 \\\\= (-3)^{4+9}\\\\= (-3)^{13}[/tex]
Chases reasoning is wrong according to his answer [tex](-3) ^ 4 * (-3) ^ 9 = (-3)^ {36}[/tex]. What chase's did was to multiply the power of -3 together instead of adding. In indices when the bases are equal and we are multiplying, the powers of the bases will be added not multiplies=d as chase's did.
