Final answer:
To simplify (6.8x10²)x(1.3x10⁻²), multiply the coefficients to get 8.84 and add the exponents of ten, resulting in 8.84 x 10⁰, which simplifies to 8.84.
Step-by-step explanation:
The question asks us to simplify the expression (6.8x10²)x(1.3x10⁻²). To simplify this, we multiply the coefficients (6.8 and 1.3) and add the exponents of ten according to the rules of exponentiation. Thus, we get:
- (6.8 * 1.3) = 8.84 (multiplying coefficients)
- (10²) * (10⁻²) = 10²+⁻² = 10⁰ (adding the exponents, where 10⁰ is equal to 1)
This simplifies the entire expression to 8.84 x 10⁰ or simply 8.84, since any number raised to the power of zero is one.