The exponent (-2) applies to both factors inside the grouping symbols (i.e., the 6 and the m4).(6m4)-2 x 9m-3
I've done up to 6m-8 x 9m-3 …
That's not the correct answer. Are you sure you typed the given expression correctly?… I have no idea how to get to the answer which is 9/m11
The answer sheet on the bottom of the page had the answer as 9/m11 (As a fraction).The exponent -2 applies to both the 6 and the m4.
Remember the property:
(a·b)^n = a^n · b^n
That's not the correct answer. Are you sure you typed the given expression correctly?
There's a mistake somewhere in your materials. If we delete the 6, the answer becomes 9/m^11.The answer sheet on the bottom of the page had the answer as 9/m11 (As a fraction).
I'm pretty sure I typed the expression correctly, the following is as it appears of the worksheet (6m^4)^-2 · 9m^-3
Your example is a different form. When you have a product being raised to a power, each factor in the product gets raised to the power.The notes I have are (am)n = amn. I assumed the 6 would stay the same because all the questions that had been done in my book were done the same way.
E.g. Simplify (10^6)^2 = 10^12