Question

which is the simplified form of the expression (612(%)*: (604x9%) ??012OOp 2760help i’m gonna cry this is a timed not test it’s practice and i need help <:(

Answer 1

The question to simplify is:

`(p^2q^5)^(-4)\cdot(p^(-4)q^5)^(-2)`

We can use the power property of exponents to simplify this further. The power property is >>>

`(a^n)^m=a^(nm)`

Simplifying, we get:

`\begin{gathered} (p^2q^5)^(-4)\cdot(p^(-4)q^5)^(-2) \\ p^(-8)q^(-20)\cdot p^8q^(-10) \end{gathered}`

When we have two same bases multiplied, we add the exponents. So, let's simplify the exponents of "p" and "q":

`\begin{gathered} p^(-8)q^(-20)\cdot p^8q^(-10) \\ =p^(-8+8)q^(-20-10) \\ =p^0q^(-30) \end{gathered}`

We know anything to the power 0 is "1". So, we have:

`\begin{gathered} p^0q^(-30) \\ =1\cdot q^(-30) \\ =q^(-30) \end{gathered}`

To make the exponent positive, we take the variable to the denominator, so it becomes >>>

`\begin{gathered} q^(-30) \\ =(1)/(q^(30)) \end{gathered}`

**The first answer choice is right**