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valina [46]
3 years ago
15

Find the product or quotient using only positive exponents

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

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

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