Basic Math Examples

(1.1 \cdot 10^{6}) \cdot (1.1 \cdot 10^{- 6})

$(1.1 \cdot 10^{6}) \cdot (1.1 \cdot 10^{- 6})$

Step 1

Remove unnecessary parentheses.

1.1 \cdot 10^{6} \cdot 1.1 \cdot 10^{- 6}

$1.1 \cdot 10^{6} \cdot 1.1 \cdot 10^{- 6}$

Step 2

Combine exponents.

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Step 2.1

Multiply

1.1

$1.1$ by

1.1

$1.1$ .

1.21 \cdot 10^{6} \cdot 10^{- 6}

$1.21 \cdot 10^{6} \cdot 10^{- 6}$

Step 2.2

Multiply

10^{6}

$10^{6}$ by

10^{- 6}

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

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Step 2.2.1

Move

10^{- 6}

$10^{- 6}$ .

1.21 \cdot (10^{- 6} \cdot 10^{6})

$1.21 \cdot (10^{- 6} \cdot 10^{6})$

Step 2.2.2

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

1.21 \cdot 10^{- 6 + 6}

$1.21 \cdot 10^{- 6 + 6}$

Step 2.2.3

Add

- 6

$- 6$ and

6

$6$ .

1.21 \cdot 10^{0}

$1.21 \cdot 10^{0}$

1.21 \cdot 10^{0}

$1.21 \cdot 10^{0}$

Step 2.3

Simplify

1.21 \cdot 10^{0}

$1.21 \cdot 10^{0}$ .

1.21

$1.21$

1.21

$1.21$

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

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