simplify (xxx^3)/4

Solution

simplify

\frac{xx x ^{3}}{4}

\frac{x ^{5}}{4}

Solution steps

\frac{xx x ^{3}}{4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

xx x^{3} = x^{1 + 1 + 3}

= \frac{x ^{1 + 1 + 3}}{4}

Add the numbers:

1 + 1 + 3 = 5

= \frac{x ^{5}}{4}

(\frac{( - 81 x ^{3} \cdot y ^{4} )}{( 27 x \cdot y ^{3} )})^{3}

(i) x^{3} + 13 x^{2} + 32 x + 20

16 \cdot (x - y)^{3} - 24 \cdot (x - y)^{2}

a^{4} - 6 a^{2} + 25

25 y^{4} + 120 y^{2} + 144