c) $$ \left(\frac{1}{3}-\frac{1}{2}\right)^{2}+\left(\frac{1}{3}\right)^{3}= $$

Question

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (1/3-1/2)^2+(1/3)^3 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{1}{3}-\frac{1}{2}ight)^{2}+\left(\frac{1}{3}ight)^{3}$$
- step1: Subtract the numbers:
  $$\left(-\frac{1}{6}ight)^{2}+\left(\frac{1}{3}ight)^{3}$$
- step2: Simplify:
  $$\frac{1}{6^{2}}+\frac{1}{3^{3}}$$
- step3: Evaluate the power:
  $$\frac{1}{36}+\frac{1}{3^{3}}$$
- step4: Evaluate the power:
  $$\frac{1}{36}+\frac{1}{27}$$
- step5: Reduce fractions to a common denominator:
  $$\frac{3}{36	imes 3}+\frac{4}{27	imes 4}$$
- step6: Multiply the numbers:
  $$\frac{3}{108}+\frac{4}{27	imes 4}$$
- step7: Multiply the numbers:
  $$\frac{3}{108}+\frac{4}{108}$$
- step8: Transform the expression:
  $$\frac{3+4}{108}$$
- step9: Add the numbers:
  $$\frac{7}{108}$$
La expresión $$ \left(\frac{1}{3}-\frac{1}{2}ight)^{2}+\left(\frac{1}{3}ight)^{3} $$ se simplifica a $$ \frac{7}{108} $$ o aproximadamente $$ 0.0648 $$.
La expresión se simplifica a $$ \frac{7}{108} $$ o aproximadamente $$ 0.0648 $$.

c) \( \left(\frac{1}{3}-\frac{1}{2}\right)^{2}+\left(\frac{1}{3}\right)^{3}= \)

Real Tutor Solution

Answer

Solution

Related Questions

Latest Pre Algebra Questions