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Exercise

$\frac{\left(_{-3^{-3}}\right)}{6^{-2}}$

Step-by-step Solution

1

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{_}{\frac{1}{6^{2}}}$
2

Divide fractions $\frac{_}{\frac{1}{6^{2}}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$

$36_$
3

Calculate the power $6^{2}$

$36_$

Final answer to the exercise

$36_$

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Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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