Question

Apply the properties of exponents to rewrite each expression in the form kxn, where nn is an integer and x≠0

5((x^3)^−3)(2x)^−4

Answer 1

The final expression will be
`0.3125x^(-13)`

Explanation:

We have given expression
`5((x^3)^(-3))2x^(-4)`

We know the property of exponent that when there is exponent to exponent then both exponent are multiplied with each other

So
`5((x^3)^(-3))2x^(-4)=5x^(-9)* 0.0625x^(-4)`

Now again there is property of exponent that when there is multiplication of two function then exponent will be added

So
`5x^(-9)* 0.0625x^(-4)=0.3125x^(-13)`

So the final expression will be
`0.3125x^(-13)`