Basic Math Examples

(\frac{10}{8}) {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}

$(\frac{10}{8}) {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}$

Step 1

Cancel the common factor of

10

$10$ and

8

$8$ .

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Step 1.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 (5)}{8} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}

$\frac{2 (5)}{8} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

8

$8$ .

\frac{2 \cdot 5}{2 \cdot 4} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}

$\frac{2 \cdot 5}{2 \cdot 4} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}$

Step 1.2.2

Cancel the common factor.

\frac{2 \cdot 5}{2 \cdot 4} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}

$\frac{2 \cdot 5}{2 \cdot 4} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}$

Step 1.2.3

Rewrite the expression.

\frac{5}{4} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}

$\frac{5}{4} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}$

\frac{5}{4} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}

$\frac{5}{4} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}$

\frac{5}{4} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}

$\frac{5}{4} {(0.92)}^{8} {(1 - 0.92)}^{10 - 8}$

Step 2

Raise

0.92

$0.92$ to the power of

8

$8$ .

\frac{5}{4} \cdot 0.51321887 {(1 - 0.92)}^{10 - 8}

$\frac{5}{4} \cdot 0.51321887 {(1 - 0.92)}^{10 - 8}$

Step 3

Multiply

\frac{5}{4} \cdot 0.51321887

$\frac{5}{4} \cdot 0.51321887$ .

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Step 3.1

Combine

\frac{5}{4}

$\frac{5}{4}$ and

0.51321887

$0.51321887$ .

\frac{5 \cdot 0.51321887}{4} {(1 - 0.92)}^{10 - 8}

$\frac{5 \cdot 0.51321887}{4} {(1 - 0.92)}^{10 - 8}$

Step 3.2

Multiply

5

$5$ by

0.51321887

$0.51321887$ .

\frac{2.56609436}{4} {(1 - 0.92)}^{10 - 8}

$\frac{2.56609436}{4} {(1 - 0.92)}^{10 - 8}$

\frac{2.56609436}{4} {(1 - 0.92)}^{10 - 8}

$\frac{2.56609436}{4} {(1 - 0.92)}^{10 - 8}$

Step 4

Divide

2.56609436

$2.56609436$ by

4

$4$ .

0.64152359 {(1 - 0.92)}^{10 - 8}

$0.64152359 {(1 - 0.92)}^{10 - 8}$

Step 5

Subtract

0.92

$0.92$ from

1

$1$ .

0.64152359 \cdot {0.08}^{10 - 8}

$0.64152359 \cdot {0.08}^{10 - 8}$

Step 6

Subtract

8

$8$ from

10

$10$ .

0.64152359 \cdot {0.08}^{2}

$0.64152359 \cdot {0.08}^{2}$

Step 7

Raise

0.08

$0.08$ to the power of

2

$2$ .

0.64152359 \cdot 0.0064

$0.64152359 \cdot 0.0064$

Step 8

Multiply

0.64152359

$0.64152359$ by

0.0064

$0.0064$ .

0.00410575

$0.00410575$