Question

you might need: calculator a color photograph taken with a digital camera is converted into digital format using 4 · 10^0 bytes per pixel. photographs taken with the camera each have 2.2 · 10^6 pixels. how many bytes are there in one photo? write your answer in scientific notation. show calculator

Explanation:

Step1: Recall the formula for total bytes

Total bytes = bytes per pixel × number of pixels.

Step2: Substitute the given values

We have bytes per pixel = $4\times10^{0}$ and number of pixels = $2.2\times 10^{6}$. So the total number of bytes is $(4\times10^{0})\times(2.2\times 10^{6})$.

Step3: Use the rule of exponents $a^{m}\times a^{n}=a^{m + n}$

$(4\times10^{0})\times(2.2\times 10^{6})=(4\times2.2)\times(10^{0 + 6})$.

Step4: Calculate the product

$4\times2.2 = 8.8$ and $10^{0+6}=10^{6}$, so the result is $8.8\times 10^{6}$ bytes.

Answer:

$8.8\times 10^{6}$ bytes