Pre-Algebra Examples

$x = 35.74 + 0.6215 (30) - 35.75 {(30)}^{\frac{4}{25}} + 0.4275 (30) {(30)}^{\frac{4}{25}}$

Step 1

Remove parentheses.

$x = 35.74 + 0.6215 (30) - 35.75 \cdot 30^{\frac{4}{25}} + 0.4275 (30) {(30)}^{\frac{4}{25}}$

Step 2

Remove parentheses.

$x = 35.74 + 0.6215 (30) - 35.75 \cdot 30^{\frac{4}{25}} + 0.4275 (30) \cdot 30^{\frac{4}{25}}$

Step 3

Simplify $35.74 + 0.6215 (30) - 35.75 \cdot 30^{\frac{4}{25}} + 0.4275 (30) \cdot 30^{\frac{4}{25}}$ .

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply $0.6215$ by $30$ .

$x = 35.74 + 18.645 - 35.75 \cdot 30^{\frac{4}{25}} + 0.4275 (30) \cdot 30^{\frac{4}{25}}$

Step 3.1.2

Multiply $- 35.75$ by $30^{\frac{4}{25}}$ .

$x = 35.74 + 18.645 - 61.60492694 + 0.4275 (30) \cdot 30^{\frac{4}{25}}$

Step 3.1.3

Multiply $30$ by $30^{\frac{4}{25}}$ by adding the exponents.

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Step 3.1.3.1

Move $30^{\frac{4}{25}}$ .

$x = 35.74 + 18.645 - 61.60492694 + 0.4275 (30^{\frac{4}{25}} \cdot 30)$

Step 3.1.3.2

Multiply $30^{\frac{4}{25}}$ by $30$ .

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Step 3.1.3.2.1

Raise $30$ to the power of $1$ .

$x = 35.74 + 18.645 - 61.60492694 + 0.4275 (30^{\frac{4}{25}} \cdot 30^{1})$

Step 3.1.3.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x = 35.74 + 18.645 - 61.60492694 + 0.4275 \cdot 30^{\frac{4}{25} + 1}$

Step 3.1.3.3

Write $1$ as a fraction with a common denominator.

$x = 35.74 + 18.645 - 61.60492694 + 0.4275 \cdot 30^{\frac{4}{25} + \frac{25}{25}}$

Step 3.1.3.4

Combine the numerators over the common denominator.

$x = 35.74 + 18.645 - 61.60492694 + 0.4275 \cdot 30^{\frac{4 + 25}{25}}$

Step 3.1.3.5

Add $4$ and $25$ .

$x = 35.74 + 18.645 - 61.60492694 + 0.4275 \cdot 30^{\frac{29}{25}}$

Step 3.1.4

Multiply $0.4275$ by $30^{\frac{29}{25}}$ .

$x = 35.74 + 18.645 - 61.60492694 + 22.10022903$

Step 3.2

Simplify by adding and subtracting.

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Step 3.2.1

Add $35.74$ and $18.645$ .

$x = 54.385 - 61.60492694 + 22.10022903$

Step 3.2.2

Subtract $61.60492694$ from $54.385$ .

$x = - 7.21992694 + 22.10022903$

Step 3.2.3

Add $- 7.21992694$ and $22.10022903$ .

$x = 14.88030209$