Pre-Algebra Examples

$\frac{16 b}{7} \cdot \frac{35 b^{3}}{4}$

Step 1

Combine.

$\frac{16 b (35 b^{3})}{7 \cdot 4}$

Step 2

Multiply $b$ by $b^{3}$ by adding the exponents.

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Step 2.1

Move $b^{3}$ .

$\frac{16 (b^{3} b) \cdot 35}{7 \cdot 4}$

Step 2.2

Multiply $b^{3}$ by $b$ .

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Step 2.2.1

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

$\frac{16 (b^{3} b^{1}) \cdot 35}{7 \cdot 4}$

Step 2.2.2

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

$\frac{16 b^{3 + 1} \cdot 35}{7 \cdot 4}$

$\frac{16 b^{3 + 1} \cdot 35}{7 \cdot 4}$

Step 2.3

Add $3$ and $1$ .

$\frac{16 b^{4} \cdot 35}{7 \cdot 4}$

$\frac{16 b^{4} \cdot 35}{7 \cdot 4}$

Step 3

Cancel the common factor of $16$ and $4$ .

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Step 3.1

Factor $4$ out of $16 b^{4} \cdot 35$ .

$\frac{4 (4 b^{4} \cdot 35)}{7 \cdot 4}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4$ out of $7 \cdot 4$ .

$\frac{4 (4 b^{4} \cdot 35)}{4 \cdot 7}$

Step 3.2.2

Cancel the common factor.

$\frac{4 (4 b^{4} \cdot 35)}{4 \cdot 7}$

Step 3.2.3

Rewrite the expression.

$\frac{4 b^{4} \cdot 35}{7}$

$\frac{4 b^{4} \cdot 35}{7}$

$\frac{4 b^{4} \cdot 35}{7}$

Step 4

Cancel the common factor of $35$ and $7$ .

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Step 4.1

Factor $7$ out of $4 b^{4} \cdot 35$ .

$\frac{7 (4 b^{4} \cdot 5)}{7}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $7$ out of $7$ .

$\frac{7 (4 b^{4} \cdot 5)}{7 (1)}$

Step 4.2.2

Cancel the common factor.

$\frac{7 (4 b^{4} \cdot 5)}{7 \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{4 b^{4} \cdot 5}{1}$

Step 4.2.4

Divide $4 b^{4} \cdot 5$ by $1$ .

$4 b^{4} \cdot 5$

$4 b^{4} \cdot 5$

$4 b^{4} \cdot 5$

Step 5

Multiply $5$ by $4$ .

$20 b^{4}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$