SOLUTION: i am confused as to what it means be "Write each expression as a decimal" with problems like 57) 10 to the negative 5th power 58) 10 to the negative 8th power 59) 4 times 10

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Question 114576This question is from textbook prentice hall mathmatics algebra
: i am confused as to what it means be "Write each expression as a decimal" with problems like

57) 10 to the negative 5th power
58) 10 to the negative 8th power
59) 4 times 10 to the negative first power
60) 6 times 10 to the negative 4th power

please help me to figure out what this means!


cody-

9th grade Lake Howell High School!
This question is from textbook prentice hall mathmatics algebra

Found 3 solutions by stanbon, Fombitz, checkley71:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
"Write each expression as a decimal" with problems like
57) 10 to the negative 5th power
10^-5 = 0.00001
----------------
58) 10 to the negative 8th power
10^-8 = 0.00000001
-----------------------
59) 4 times 10 to the negative first power
and
4*10^-1 = 4*0.1 = 0.4
--------------------------------
60) 6 times 10 to the negative 4th power
6*10^-4 = 6*0.0001 = 0.0006
=================================
Cheers,
Stan H.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's take them one at a time.
57) 10%5E-5 is the same as 1%2F%2810%5E5%29=1%2F%28100000%29=0.00001
58) 10%5E-8 is the same as 1%2F%2810%5E8%29=1%2F%28100000000%29=0.00000001
58) 4x10%5E-1 is the same as 4%281%2F%2810%5E1%29%29=4%281%2F%2810%29%29=4%2F10=0.4
59) 6x10%5E-4 is the same as 6%281%2F%2810%5E4%29%29=6%281%2F%2810000%29%29=6%2F10000=0.0006

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
NEGATIVE EXPONENTS REQUIRE YOU TO MOVE THE DECIMAL POINT TO THE LEFT X PLACES.
10^-3 OR 1. WITH AN EXPONENT OF -3 EQUALS .001
10^-5=.00001
10^-8=.00000001
4*10^-1=.4
6*10^-4=.0006