Questions: (5.7 × 10^21) × (1.2 × 10^-18)

Transcript text: \[ \left(5.7 \times 10^{21}\right) \times\left(1.2 \times 10^{-18}\right) \]

Solution

Step 1: Multiply the coefficients

Multiply the numerical coefficients:
\( 5.7 \times 1.2 = 6.84 \).

Step 2: Add the exponents

Add the exponents of the powers of 10:
\( 10^{21} \times 10^{-18} = 10^{21 + (-18)} = 10^{3} \).

Step 3: Combine the results

Combine the results from Step 1 and Step 2:
\( 6.84 \times 10^{3} \).

\(\boxed{6.84 \times 10^{3}}\)

Was this solution helpful?

Unhelpful

Helpful