What is the area of a rectangle that has width of 1.50 x 103 cm and a length of 2.30 x 106 cm? Keep all the significant figures.

I think you intend for those numbers "103" and "106"

to be powers of ten ... 10³ and 10⁶.

So, if I am not barking up the wrong tree, the exercise

goes like this:

Width = 1.50 x 10³ cm

Length = 2.30 x 10⁶ cm

Area = (length) x (width) = (2.30 x 10⁶ cm) x (1.50 x 10³ cm)

= (2.30cm x 1.50cm) x (10⁶ x 10³)

= 3.45 x 10⁹ cm²

= 3.45 x 10⁵ m²

You multiply 1.50 tmes 103 to get the rectangle width and 2.30 times 106 to get rectangle lenghth then multiply the width times length

1.50 x 103=154.5

2.30 x 106 = 243.8

243.8 * 154.5 = 37,667.1