Answers:
2^(-4) means 1 / (2^4)
And
4^(-1) means 1 / (4^1)
Whenever there is negative exponents, the number goes to denominator.
If I clear this, 1 / (2^4) = 1 / 16,,,,,,,,,,,,,,, 1 / (4^1) = 1 / 4
If you add them, (1 / 16) + (1 / 4) = 5 / 16
I hope I helped!!!
2^-4 is the same as saying 1 / (2)^4 = 1/(2*2*2*2) = 1 / 16
4^-1 is the same as saying 1 / (4)^1 = 1/4 = 4/16
1/16 + 4/16 = 5/16
That's how come 2^-4 + 4^-1 = 5/16
. because 2^-4 + 4^1 = 1/16 + 4/16 = 5/16
Hope this helps!
Just remember that a number to a negative power is the same as 1 divided by the same number to a positive power.
x^-y is the same as 1/x^y or
x^y is the same as 1/x^-y
when you take something to a negative power, it becomes part of a fraction and you sort of flip it. to start, 2*2*2*2 = 16. If we make it the negative power, it is 1/16. 4 to the -1 is 1/4. added together they are 5/16.
2^-4= 1/ 2^4 = 1/ 16
4^-1 = 1 /4
1/16 + 1/4 = 1/16 + 4/ 16 = 5/16
1st remember to do order of operation
Exponent
2 to the -4 power is 0.0625
4 to the -1 power is 0.25
Add 0.0625 to 0.25 =0.3125
0.3125 in fraction form is 5/16
first u have to 2 to the power of negative 4 plus 4 to the power of negative 1
the you should do
2^-4=2 to the power of negative 4=.0625=6.25/100
4^-1=4 to the power of negative 1=.25=1/4
multiply by 100 to get the the number out of 100
make common denominators
6.25/100
1/4=25/100
common denominators
then add
2^-4 + 4^-1=6.25/100+25/100=31.25/100...
make into fraction and simplest
.3125=5/16
hope this helps
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