simplify 1/2 x^2y^2

Solution

simplify

\frac{1}{2} x^{2} y^{2}

\frac{x ^{2} y ^{2}}{2}

Solution steps

\frac{1}{2} x^{2} y^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

x^{2} y^{2} = (x y)^{2}

= \frac{1}{2} (x y)^{2}

(x y)^{2} = x^{2} y^{2}

= \frac{1}{2} x^{2} y^{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot x ^{2} y ^{2}}{2}

Multiply:

1 \cdot x^{2} = x^{2}

= \frac{x ^{2} y ^{2}}{2}

3 (1 - 2)^{2}

0.38 \cdot (102400) \cdot (1.33 \cdot 1 0^{(- 12)})

e^{- 3 l n (x - 1)}

4.17 \cdot 1 0^{- 5}