Question

Simplify (6.51 x 10⁻¹¹)(7.8 x 10⁻¹⁸). Write the final answer in scientific notation:

A) 5.085 x 10⁻²⁸
B) 5.085 x 10⁻²⁹
C) 5.085 x 10⁻³⁰
D) 5.085 x 10⁻³¹

Answer 1

To simplify (6.51 x 10⁻¹¹)(7.8 x 10⁻¹⁸), multiply the numerical coefficients and add the exponents of the powers of 10. The final answer is 5.0718 x 10⁻²⁹.

Step-by-step explanation:

To simplify the expression (6.51 x 10⁻¹¹)(7.8 x 10⁻¹⁸), we can multiply the numerical coefficients together and add the exponents of the powers of 10.

6.51 x 7.8 = 50.718

10⁻¹¹ x 10⁻¹⁸ = 10⁻²⁹

So, the final answer in scientific notation is 5.0718 x 10⁻²⁹.