Simplify (a^2b^0c)^0 x^-2y^3 3x^-2 n^2/n^-3

Thursday, December 26, 2013

Simplify (a^2b^0c)^0 x^-2y^3 3x^-2 n^2/n^-3

1.
Simplify $\displaystyle{{\left({{a}}^{{2}}{{b}}^{{0}}{c}\right)}}^{{0}}$

Anything to raised to the zero is
equal to one, so the answer here is 1.

2.
Simplify $x^{-2}y^3$

We can write $x^{-2}$ as
$frac{1}{x^2}$ ,so this simplifies to $frac{y^3}{x^2}$

3.
Simplify $3x^{-2}$

Same strategry as in #2, this simplifies
to $\displaystyle\frac{{3}}{{{x}}^{{2}}}$

4. Simplify $\displaystyle\frac{{{n}}^{{2}}}{}$
n^(-3)

Here we use the rule $\displaystyle\frac{{{x}}^{{a}}}{{{x}}^{{b}}}={{x}}^{{{a}-{b}}}$ , giving
us the simplified result $\displaystyle{{n}}^{{5}}$

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