Pre-Algebra Examples

$56 \div \sqrt{2.11 + 3^{3}} \div | - 2^{4} + 4.3 |$

Step 1

Rewrite the division as a fraction.

$\frac{56 \div \sqrt{2.11 + 3^{3}}}{| - 2^{4} + 4.3 |}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$56 \div \sqrt{2.11 + 3^{3}} \cdot \frac{1}{| - 2^{4} + 4.3 |}$

Step 3

Combine fractions.

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Step 3.1

Combine.

$\frac{56 \cdot 1}{\sqrt{2.11 + 3^{3}} | - 2^{4} + 4.3 |}$

Step 3.2

Multiply $56$ by $1$ .

$\frac{56}{\sqrt{2.11 + 3^{3}} | - 2^{4} + 4.3 |}$

Step 4

Simplify the denominator.

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Step 4.1

Raise $2$ to the power of $4$ .

$\frac{56}{\sqrt{2.11 + 3^{3}} | - 1 \cdot 16 + 4.3 |}$

Step 4.2

Multiply $- 1$ by $16$ .

$\frac{56}{\sqrt{2.11 + 3^{3}} | - 16 + 4.3 |}$

Step 4.3

Add $- 16$ and $4.3$ .

$\frac{56}{\sqrt{2.11 + 3^{3}} | - 11.7 |}$

Step 4.4

Raise $3$ to the power of $3$ .

$\frac{56}{\sqrt{2.11 + 27} | - 11.7 |}$

Step 4.5

Add $2.11$ and $27$ .

$\frac{56}{\sqrt{29.11} | - 11.7 |}$

Step 4.6

The absolute value is the distance between a number and zero. The distance between $- 11.7$ and $0$ is $11.7$ .

$\frac{56}{\sqrt{29.11} \cdot 11.7}$

Step 5

Simplify by multiplying terms.

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Step 5.1

Multiply $\sqrt{29.11}$ by $11.7$ .

$\frac{56}{63.12581009}$

Step 5.2

Divide $56$ by $63.12581009$ .

$0.88711732$