Simplify (y^3x^34^-1m^-2+2x^54)

$(y^{3} x^{3} \cdot 4^{- 1} m^{- 2} + 2 x^{5} \cdot 4)$

Step 1

Remove parentheses.

$y^{3} x^{3} \cdot (4^{- 1} m^{- 2}) + 2 x^{5} \cdot 4$

Step 2

Simplify each term.

Rewrite using the commutative property of multiplication.

$4^{- 1} y^{3} x^{3} m^{- 2} + 2 x^{5} \cdot 4$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{4} y^{3} x^{3} m^{- 2} + 2 x^{5} \cdot 4$

Combine $\frac{1}{4}$ and $y^{3}$ .

$\frac{y^{3}}{4} x^{3} m^{- 2} + 2 x^{5} \cdot 4$

Combine $\frac{y^{3}}{4}$ and $x^{3}$ .

$\frac{y^{3} x^{3}}{4} m^{- 2} + 2 x^{5} \cdot 4$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{y^{3} x^{3}}{4} \cdot \frac{1}{m^{2}} + 2 x^{5} \cdot 4$

Combine.

$\frac{y^{3} x^{3} \cdot 1}{4 m^{2}} + 2 x^{5} \cdot 4$

Multiply $y^{3}$ by $1$ .

$\frac{x^{3} \cdot y^{3}}{4 m^{2}} + 2 x^{5} \cdot 4$

Multiply $4$ by $2$ .

$\frac{x^{3} y^{3}}{4 m^{2}} + 8 x^{5}$

Simplify (y^3x^3*4^-1m^-2+2x^5*4)