Question

Find the product or quotient using only positive exponents

Answer 1

Answer:

$\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7$

Step-by-step explanation:

Given

$\frac{3x^6}{6x^{-1}}$

Required

Solve

In laws of indices, we have:

$\frac{x^m}{x^n} = x^{m-n}$

So, the expression becomes:

$\frac{3x^{6 - (-1)}}{6}$

$\frac{3x^{6 +1}}{6}$

$\frac{3x^7}{6}$

Divide 3 and 6 by 3

$\frac{1x^7}{2}$

$\frac{x^7}{2}$

This can be rewritten as:

$\frac{1}{2}x^7$

Hence:

$\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7$