Question

What is the result of multiplying 2.5 times 10 to the power 10 by 3.5×10 to the power of -7

Answer 1

Answer:

8.75 × 10³

Explanation:

Multiply the coefficients and the exponential terms separately; then multiply them together

2.5 × 3.5 = 8.75.

When you multiply exponential terms, you add the exponents.

10¹⁰ × 10⁻⁷ = 10⁽¹⁰⁻⁷⁾ = 10³

The product is 8.75 × 10³.

A scientific calculator does the operation automatically. The buttons may have different labels on your calculator, but the key sequence is usually something like

2.5 Exp 10 × 8.5 Exp +/- 7 = 8.75×10⁻³