3 years ago

(8.4 times 10 to the 2 power)(2.5 times 10 to the 6 power)

2 answers:

6 0

(8.4 * 10^2) (2.5 * 10^6)
associative property -> we can multiply these in whichever order we want
8.4 * 2.5 * 10^2 * 10^6
21 * 10^8
if your instructions said to put the answers in scientific notation, however, we are not done here
21 * 10^8
2.1 * 10 * 10^8
2.1 * 10^9

Lelu [443]3 years ago

4 0

$8.4*10^2*2.5*10^6\to\boxed{21*10^8}$

You might be interested in

What is the length of a rectangle with width 20 in, and area 172 in2

timofeeve [1]

Answer:

8.6 inches (Rounded: 9 inches)

Step by Step:

1). w x l = A

2). 20 x l = 172

3). 172/20

4). 8.6

5 0

3 years ago

Simplify the expression \[\frac{6}{\sqrt{36} + \sqrt{27}} + \frac{6}{\sqrt{27} + \sqrt{18}} + \frac{6}{\sqrt{18} + \sqrt{9}}.\]

Viktor [21]

Answer:

= 18 ( 3 + 2(\sqrt{3} + \sqrt{2} ))

Step-by-step explanation:

$6(\sqrt{36} +\sqrt{27}) + 6(\sqrt{27} +\sqrt{18}) + 6(\sqrt{18} + \sqrt{9} )\\= 6( {6} +\sqrt{9*3}) + 6( \sqrt{9*3} +\sqrt{9*2}) + 6(\sqrt{9*2} + 3 )\\= 6( {6} +3\sqrt{3}) + 6(3\sqrt{3} +3\sqrt{2}) + 6(3\sqrt{2} + 3 )\\=36 + 18\sqrt{3} + 18\sqrt{3} + 18\sqrt{2}+ 18\sqrt{2} + 18\\= 36+18 +18( \sqrt{3}+ \sqrt{3} +\sqrt{2} + \sqrt{2})\\= 54 + 18 (2\sqrt{3} +2\sqrt{2})\\=54 + 36\sqrt{3} + 36\sqrt{2}\\= 18 ( 3 + 2(\sqrt{3} + \sqrt{2} ))$