Question

which shows the expression below in simplified form?\\((3.2 \times 10^{19}) + (1.5 \times 10^{16})\\)\
\\(\bigcirc\\) a. \\(3.20015 \times 10^{16}\\)\
\\(\bigcirc\\) b. \\(3.215 \times 10^{16}\\)\
\\(\bigcirc\\) c. \\(4.7 \times 10^{19}\\)\
\\(\bigcirc\\) d. \\(3.2015 \times 10^{19}\\)

Explanation:

Step1: Rewrite terms to same exponent

Convert $1.5 \times 10^{16}$ to match $10^{19}$:
$1.5 \times 10^{16} = 0.0015 \times 10^{19}$

Step2: Add the coefficients

Add the coefficients of the like terms:
$3.2 + 0.0015 = 3.2015$

Step3: Combine with common exponent

Attach the shared power of 10:
$3.2015 \times 10^{19}$

Answer:

D. $3.2015 \times 10^{19}$