5 over x^{2 }times x^{13}. i am trying to explain it to my son... please help^{
}

## 5 over x squared the whole thing multiplied by x to the 13 power

Tutors, please sign in to answer this question.

# 1 Answer

It sounds like you have (5/x^{2}) * x^{13}

By the commutative property of multiplication, I can rewrite this as (5x^{13})/x^{2
}(Division is the same as multiplying by the reciprocal, so 5/x^{2} is the same as 5 * 1/x^{2})

I can then rewrite as 5 * x^{13}/x^{2} . I can then reduce the fraction to 5x^{11} (5 * x^{13 - 2}).

I can also look at this with negative exponents: 5/x^{2} is the same as 5x^{-2} . Therefore, (5/x^{2})x^{13} = 5x^{-2}x^{13} = 5x^{13 - 2} = 5x^{11}^{
}