Basic Math Examples

$\frac{1}{(2 p) (1200) (10 \cdot 10^{- 6})}$

Step 1

Multiply $10$ by $10^{- 6}$ by adding the exponents.

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Step 1.1

Multiply $10$ by $10^{- 6}$ .

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Step 1.1.1

Raise $10$ to the power of $1$ .

$\frac{1}{(2 p) (1200) (10^{1} \cdot 10^{- 6})}$

Step 1.1.2

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

$\frac{1}{(2 p) (1200) \cdot 10^{1 - 6}}$

Step 1.2

Subtract $6$ from $1$ .

$\frac{1}{(2 p) (1200) \cdot 10^{- 5}}$

Step 2

Simplify the expression.

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Step 2.1

Move $10^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{10^{5}}{(2 p) (1200)}$

Step 2.2

Raise $10$ to the power of $5$ .

$\frac{100000}{2 p \cdot 1200}$

Step 2.3

Multiply $1200$ by $2$ .

$\frac{100000}{2400 p}$

Step 3

Cancel the common factor of $100000$ and $2400$ .

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Step 3.1

Factor $800$ out of $100000$ .

$\frac{800 (125)}{2400 p}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $800$ out of $2400 p$ .

$\frac{800 (125)}{800 (3 p)}$

Step 3.2.2

Cancel the common factor.

$\frac{800 \cdot 125}{800 (3 p)}$

Step 3.2.3

Rewrite the expression.

$\frac{125}{3 p}$