Question

1 (1.29×10⁻⁴)×(6.43×10³)

Explanation:

Step1: Separate coefficients and powers

Group the decimal terms and the powers of 10:
$(1.29 \times 0.43) \times (10^{-4} \times 10^{3})$

Step2: Calculate coefficient product

Multiply the decimal numbers:
$1.29 \times 0.43 = 0.5547$

Step3: Combine powers of 10

Use exponent rule $10^a \times 10^b = 10^{a+b}$:
$10^{-4} \times 10^{3} = 10^{-4+3} = 10^{-1}$

Step4: Multiply results together

Combine the two products:
$0.5547 \times 10^{-1}$

Step5: Convert to proper scientific notation

Rewrite in standard scientific form:
$5.547 \times 10^{-2}$

Answer:

$5.547 \times 10^{-2}$ or $0.05547$