Question

Simplify the following expression please solve correctly −12^12 ^2 / 3^ 5 ^5

Answer 1

The simplified expression is $-\frac{48}{x^{3} y^{3}}$

Explanation:

The given expression is $\frac{-12x^{2}12y^{2} }{3x^{5} y^{5} }$

Let us simplify the expression.

Multiplying the numbers in the numerator, we have,

$\frac{-144 x^{2} y^{2}}{3 x^{5} y^{5}}$

Dividing the term 144 by 3, which results in 48.

Thus, we have,

$\frac{-48 x^{2} y^{2}}{x^{5} y^{5}}$

Applying the fraction rule $\frac{-a}{b}=-\frac{a}{b}$ , we get,

$-\frac{48 x^{2} y^{2}}{x^{5} y^{5}}$

Applying the exponent rule $\frac{x^{a}}{x^{b}}=\frac{1}{x^{b-a}}$, we have,

$-\frac{48}{x^{3} y^{3}}$

Thus, the simplified expression is $-\frac{48}{x^{3} y^{3}}$