Question

Chase was asked to simplify the expression (-3) ^ 4 * (-3) ^ 9 equals is shown was work below do you agree or disagree with Chase's War explain your reasoning chases work (-3) to the power of 4 * (-3) ^ 9 equals (-3) ^ 36

Answer 1

Explanation:

Given the expression chase was asked to simplify as
`(-3) ^ 4 * (-3) ^ 9`, lets first solve and compare our solution with chases's

Using the law of indices
`(a) ^ m * (a) ^ n = a^(m+n)`

`= (-3) ^ 4 * (-3) ^ 9 \\\\= (-3)^(4+9)\\\\= (-3)^(13)`

Chases reasoning is wrong according to his answer
`(-3) ^ 4 * (-3) ^ 9 = (-3)^ {36}`. 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.