Algebra Examples

$(7.8 \cdot 10^{3}) \cdot (1 \cdot 10^{4})$

Step 1

Multiply $7.8$ by $1$ .

$7.8 (10^{3} \cdot 10^{4})$

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.

$7.8 \cdot 10^{3 + 4}$

Step 2.2

Add $3$ and $4$ .

$7.8 \cdot 10^{7}$