Question

Simplify the expression. Rewrite using only positive exponents.

Answer 1

The simplified form of the given expression is $x^{18}a^{3}b^{3}$.

The given expression is $(\frac{x^{4}a^{2}b^{3} }{x^{-2}ab^{2}} )^{3}$.

We need to simplify the given expression.

What are the basic laws of exponents?

The basic laws of exponents are as follows:

$a^{m} \times b^{m} =(ab)^{m}$

$a^{m} \div b^{m} =(\frac{a}{b} )^{m}$

$a^{m} \times a^{n} =(a)^{m+n}$

$a^{m} \div a^{n} =(a)^{m-n}$

Now, $(\frac{x^{6}a^{2}b^{3} }{ab^{2}} )^{3}=(\frac{x^{18}a^{6}b^{9} }{a^{3}b^{6}} )$

$=x^{18}a^{3}b^{3}$

Therefore, the simplified form of the given expression is $x^{18}a^{3}b^{3}$.

To learn more about the exponents visit:

brainly.com/question/26296886.

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