Basic Math Examples

(4.6 \cdot 10^{3}) (6.2 \cdot 10^{- 4})

$(4.6 \cdot 10^{3}) (6.2 \cdot 10^{- 4})$

Step 1

Multiply

$4.6$ by

$6.2$ .

$28.52 (10^{3} \cdot 10^{- 4})$

Step 2

Multiply

$10^{3}$ by

$10^{- 4}$ by adding the exponents.

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Step 2.1

Use the power rule

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

$28.52 \cdot 10^{3 - 4}$

Step 2.2

Subtract

$4$ from

$3$ .

$28.52 \cdot 10^{- 1}$

$28.52 \cdot 10^{- 1}$

Step 3

Move the decimal point in

$28.52$ to the left by

$1$ place and increase the power of

$10^{- 1}$ by

$1$ .

$2.852 \cdot 10^{0}$

Step 4

Convert

$2.852 \cdot 10^{0}$ from scientific notation.

$2.852$

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