algebra help please i cannot get this?

Question

(y^6/z^6)^9

and also
(m^6)^9

Simiplify them can you show the work thats what i need is to learn how to do it.

Answer 1

You haven't really told us what you want to do with those expressions. I am guessing that you just want to expand it and get rid of the parenthesis. In that case, remember that you are multiplying variables with exponents. Therefore, y to the 6th over z to the 6th all to the 9th power would mean you have 9 of those fractions in a row being multiplied. When mutiplying variables with exponents, you add the exponents. So you have y to the 6th nine times. That means 6+6+6+6+6+6+6+6+6 = 54.

Now the shortcut is to multiply the exponent outside the parenthesis times the exponent on the inside. 9 x 6 = 54.

So for the first question, the answer would be y^54 / z ^54.

For the bottom questions, its m^6 nine times. So its m^54.

Good Luck! Hope that helps!

Answer 2

(m^6)^9 = m^54

(y^6/z^6)^9 = y^54/z^54

Answer 3

(y^6/z^6)^9 = y^54/z^54

and

(m^6)^9=m^54

Answer 4

Questioin 1
y^54 / z^54 = (y/z)^54

Question 2
m^54