Question

multiply.
$(3.5 \times 10^{-5})(3 \times 10^{-10})$
express your answer in scientific notation.
\\(\circ\\) $1.05 \times 10^{-15}$
\\(\circ\\) $1.05 \times 10^{-14}$
\\(\circ\\) $1.05 \times 10^{-13}$
\\(\circ\\) $1.05 \times 10^{15}$

Explanation:

Step1: Multiply the coefficients

$3.5 \times 3 = 10.5$

Step2: Multiply the powers of 10

$10^{-5} \times 10^{-10} = 10^{-5 + (-10)} = 10^{-15}$

Step3: Combine and adjust to scientific notation

$10.5 \times 10^{-15} = 1.05 \times 10^{-14}$

Answer:

1.05 × 10⁻¹⁴ (Option: $\boldsymbol{1.05 \times 10^{-14}}$)