Evaluate Using Scientific Notation (3.510^-2)(910^4)

$(3.5 \cdot 10^{- 2}) (9 \cdot 10^{4})$

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

$(3.5 \cdot 9) (10^{- 2} \cdot 10^{4})$

Multiply $3.5$ by $9$ .

$31.5 (10^{- 2} \cdot 10^{4})$

Multiply $10^{- 2}$ by $10^{4}$ by adding the exponents.

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

$31.5 \cdot 10^{- 2 + 4}$

Add $- 2$ and $4$ .

$31.5 \cdot 10^{2}$

Write $31.5 \cdot 10^{2}$ in proper scientific notation.

$3.15 \cdot 10^{3}$

Evaluate Using Scientific Notation (3.5*10^-2)(9*10^4)