Solve b) 3√3 = mathfrak epsilon^ v+8^ mathfrak v - 01 r - 0\ ^ z-11\ mathfrak epsilon - 0 mathfrak cap ?-11^ ^ 1 *1= b) 2

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Question

$$= \frac { 8 ^ { ( 1 ) } \cdot 8 ^ { 1 } } { 4 } - \frac { \frac { 01 y ^ { 2 } - 4 ^ { 1 } } { 6 } } { 6 } - \frac { \frac { 081 ^ { 12 } - 11 ^ { 11 } } { 1 } }$$

Evaluate

$\frac{145}{9}\approx 16.111111111$

Solution Steps

To multiply powers of the same base, add their exponents. Add $1$ and $1$ to get $2$.

$$\frac{8^{2}}{4}-\frac{\frac{0\times 1y^{2}-4^{1}}{6}}{6}$$

Calculate $8$ to the power of $2$ and get $64$.

$$\frac{64}{4}-\frac{\frac{0\times 1y^{2}-4^{1}}{6}}{6}$$

Divide $64$ by $4$ to get $16$.

$$16-\frac{\frac{0\times 1y^{2}-4^{1}}{6}}{6}$$

Express $\frac{\frac{0\times 1y^{2}-4^{1}}{6}}{6}$ as a single fraction.

$$16-\frac{0\times 1y^{2}-4^{1}}{6\times 6}$$

Multiply $0$ and $1$ to get $0$.

$$16-\frac{0y^{2}-4^{1}}{6\times 6}$$

Anything times zero gives zero.

$$16-\frac{0-4^{1}}{6\times 6}$$

Calculate $4$ to the power of $1$ and get $4$.

$$16-\frac{0-4}{6\times 6}$$

Subtract $4$ from $0$ to get $-4$.

$$16-\frac{-4}{6\times 6}$$

Multiply $6$ and $6$ to get $36$.

$$16-\frac{-4}{36}$$

Reduce the fraction $\frac{-4}{36}$ to lowest terms by extracting and canceling out $4$.

$$16-\left(-\frac{1}{9}\right)$$

The opposite of $-\frac{1}{9}$ is $\frac{1}{9}$.

$$16+\frac{1}{9}$$

Add $16$ and $\frac{1}{9}$ to get $\frac{145}{9}$.

$$\frac{145}{9}$$

Show Solution

Factor

$\frac{5 \cdot 29}{3 ^ {2}} = 16\frac{1}{9} = 16.11111111111111$

Solution Steps

Factor out common term $1+144$ by using distributive property.

$$\left(1+144\right)\left(\frac{1}{1305}+\frac{16}{145}\right)$$

Consider $\frac{1}{1305}+\frac{16}{145}$. Simplify.

$$\frac{1}{9}$$

Rewrite the complete factored expression. Simplify.

$$\frac{145}{9}$$

Show Solution

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