Basic Math Examples

$\frac{5}{2 t} \cdot \frac{7}{t^{5}}$

Step 1

Combine.

$\frac{5 \cdot 7}{2 t \cdot t^{5}}$

Step 2

Multiply $t$ by $t^{5}$ by adding the exponents.

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Step 2.1

Move $t^{5}$ .

$\frac{5 \cdot 7}{2 (t^{5} t)}$

Step 2.2

Multiply $t^{5}$ by $t$ .

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Step 2.2.1

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

$\frac{5 \cdot 7}{2 (t^{5} t^{1})}$

Step 2.2.2

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

$\frac{5 \cdot 7}{2 t^{5 + 1}}$

Step 2.3

Add $5$ and $1$ .

$\frac{5 \cdot 7}{2 t^{6}}$

Step 3

Multiply $5$ by $7$ .

$\frac{35}{2 t^{6}}$