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Delvig [45]
1 year ago
14

Simplify the expression. Rewrite using only positive exponents.

Mathematics
1 answer:
Dvinal [7]1 year ago
4 0

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.

<h3>What are the basic laws of exponents?</h3>

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.

#SPJ1

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