Basic Math Examples

$(7 \cdot 10^{28}) (- 3.2 \cdot 10^{- 20}) - 6.4 \cdot 10^{35}$

Step 1

Multiply $7$ by $- 3.2$ .

$- 22.4 (10^{28} \cdot 10^{- 20}) - 6.4 \cdot 10^{35}$

Step 2

Multiply $10^{28}$ by $10^{- 20}$ 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.

$- 22.4 \cdot 10^{28 - 20} - 6.4 \cdot 10^{35}$

Step 2.2

Subtract $20$ from $28$ .

$- 22.4 \cdot 10^{8} - 6.4 \cdot 10^{35}$

Step 3

Move the decimal point in $- 22.4$ to the left by $27$ places and increase the power of $10^{8}$ by $27$ .

$0 \cdot 10^{35} - 6.4 \cdot 10^{35}$

Step 4

Factor $10^{35}$ out of $0 \cdot 10^{35} - 6.4 \cdot 10^{35}$ .

$(0 - 6.4) \cdot 10^{35}$

Step 5

Subtract $6.4$ from $0$ .

$- 6.4 \cdot 10^{35}$