Algebra Examples

${(7 \cdot 10^{4})}^{2}$

Apply the product rule to $7 \cdot 10^{4}$ .

$7^{2} \cdot {(10^{4})}^{2}$

Raise $7$ to the power of $2$ .

$49 \cdot {(10^{4})}^{2}$

Multiply the exponents in ${(10^{4})}^{2}$ .

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Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$49 \cdot 10^{4 \cdot 2}$

Multiply $4$ by $2$ .

$49 \cdot 10^{8}$

Write $49 \cdot 10^{8}$ in proper scientific notation.

$4.9 \cdot 10^{9}$