Evaluate Using Scientific Notation (9.710^6)(410^8)

$(9.7 \cdot 10^{6}) (4 \cdot 10^{8})$

Group coefficients together and exponents together to multiply numbers in scientific notation.

$(9.7 \cdot 4) (10^{6} \cdot 10^{8})$

Multiply $9.7$ by $4$ .

$38.8 (10^{6} \cdot 10^{8})$

Multiply $10^{6}$ by $10^{8}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$38.8 \cdot 10^{6 + 8}$

Add $6$ and $8$ .

$38.8 \cdot 10^{14}$

Write $38.8 \cdot 10^{14}$ in proper scientific notation.

$3.88 \cdot 10^{15}$

Evaluate Using Scientific Notation (9.7*10^6)(4*10^8)