Multiply 2.7×10⁻⁴ by6.3×106 and leave your answer in standard form

Question

ScanSolve AI Tutor · Accepted Answer

To multiply the given numbers, we will multiply the numerical parts and the powers of 10 separately.

Multiply the numerical parts.
$2.7 \times 6.3 = 17.01$
Multiply the powers of 10.
When multiplying powers with the same base, add their exponents.
$10^{-4} \times 10^{6} = 10^{(-4) + 6} = 10^{2}$
Combine the results from Step 1 and Step 2.
$17.01 \times 10^{2}$
Express the result in standard form.
Standard form requires the numerical part to be between 1 and 10. To change 17.01 to a number between 1 and 10, we move the decimal point one place to the left, making it 1.701. Since we moved the decimal point one place to the left, we increase the power of 10 by 1.
$17.01 \times 10^{2} = 1.701 \times 10^{2+1} = 1.701 \times 10^{3}$
The product in standard form is $1.701 \times 10^{3}$ .

Answer