Evaluate Using Scientific Notation ((1.510^-7)(3.610^15))÷(1.210^-3)

$(1.5 \cdot 10^{- 7}) \cdot (3.6 \cdot 10^{15}) \div (1.2 \cdot 10^{- 3})$

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

$(1.5 \cdot 3.6) (10^{- 7} \cdot 10^{15}) \div 1.2 \cdot 10^{- 3}$

Multiply $1.5$ by $3.6$ .

$5.4 (10^{- 7} \cdot 10^{15}) \div 1.2 \cdot 10^{- 3}$

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

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

$5.4 \cdot 10^{- 7 + 15} \div 1.2 \cdot 10^{- 3}$

Add $- 7$ and $15$ .

$5.4 \cdot 10^{8} \div 1.2 \cdot 10^{- 3}$

Divide using scientific notation.

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

$(\frac{5.4}{1.2}) (\frac{10^{8}}{10^{- 3}})$

Divide $5.4$ by $1.2$ .

$4.5 \frac{10^{8}}{10^{- 3}}$

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$4.5 \cdot 10^{8 - 3 \cdot - 1}$

Multiply $- 3$ by $- 1$ .

$4.5 \cdot 10^{8 + 3}$

Add $8$ and $3$ .

$4.5 \cdot 10^{11}$

Evaluate Using Scientific Notation ((1.5*10^-7)*(3.6*10^15))÷(1.2*10^-3)