Question

simplify and expand (1/3)to 2nd power × 18 + (1/2)to 2nd power × 4

Answer 1

Step 1. Use Division Distributive Property $( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }$

Step 2. Simplify $3^{2}$ to $9$

$\frac{1}{9} *18+( \frac{1}{2} ) ^{2}*4$

Step 3. Use Division Distributive Property  $( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }$

$\frac{1}{9} *18+ \frac{1}{ 2^{2} } *4$

Step 4. Simplify $2^{2}$ to $4$

$\frac{1}{9} *18+ \frac{1}{4} *4$

Step 5. Simplify $\frac{1}{9} *18$ to $\frac{18}{9}$

$\frac{18}{9} + \frac{1}{4} *4$

Step 6. Simplify $\frac{18}{9}$ to $2$

$2+ \frac{1}{4} *4$

Step 7. Simplify $\frac{1}{4} *4$ to $1$

$2+1$

Step 8. Simplify

$3$

Done! Your answer is 3