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how do I work this type of problem out. (8*10^2)*(3*10^12)

 Apr 12, 2015

Best Answer 

 #1
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+8

You need to use PEMDAS, so since the exponents are inside the parentheses, you solve the exponents first. Then you would have (8*100)(3*1,000,000,000,000). After that you then you work out the math within the parentheses. Once you've found (8*100)(3*1,000,000,000,000), then you mulitply the number in the first set of parentheses with the number in the second set of parentheses.

 Apr 12, 2015
 #1
avatar
+8
Best Answer

You need to use PEMDAS, so since the exponents are inside the parentheses, you solve the exponents first. Then you would have (8*100)(3*1,000,000,000,000). After that you then you work out the math within the parentheses. Once you've found (8*100)(3*1,000,000,000,000), then you mulitply the number in the first set of parentheses with the number in the second set of parentheses.

Guest Apr 12, 2015
 #2
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+5

 (8*10^2)*(3*10^12)

$$\\= (8*10^2)*(3*10^{12})\\
= 8*10^2*3*10^{12}\\
=8*3*10^2*10^{12}\\
=24*10^{14}\\
=2.4*10*10^{14}\\
=2.4*10^{15}$$

 Apr 13, 2015

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