Question

How do you evaluate `-5x ^ { - 3} ( 3x ^ { 7} ) ^ { 2}`?

Answer 1

`-45x^11`

Explanation:

Use the definition of an exponent to expand it out:

`-5x^-3(3x^7)^2=-5x^-3(3x^7)(3x^7)`

Order of multiplication doesn't matter:

`-5*3*3*x^-3*x^7*x^7`

Multiply the numbers and use the product property to simplify the x's:

`-45x^11`