Evaluate Using Scientific Notation (9.4510^15)(3.15*10^7)

$(9.45 \cdot 10^{15}) \cdot (3.15 \cdot 10^{7})$

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

$(9.45 \cdot 3.15) (10^{15} \cdot 10^{7})$

Multiply $9.45$ by $3.15$ .

$29.7675 (10^{15} \cdot 10^{7})$

Multiply $10^{15}$ by $10^{7}$ by adding the exponents.

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

$29.7675 \cdot 10^{15 + 7}$

Add $15$ and $7$ .

$29.7675 \cdot 10^{22}$

Write $29.7675 \cdot 10^{22}$ in proper scientific notation.

$2.97675 \cdot 10^{23}$

Evaluate Using Scientific Notation (9.45*10^15)*(3.15*10^7)