6^5/6^3
exponent on top subtract exponent on bottom and factor, 6, is eliminated on bottom
5 - 3 = 2
= 6^2
You can do this on a calculator just as shown ( My TI-84 does this ) and get 36, which is 6^2.
It's the inverse of the number raised to the power. 2 to the power of negative 3 would be 1/8th.1 over 25Improvement(shininggallade):When raising a whole number to a negative power, simply raise 5 to the second power, which is 25, and put a 1 over it. 5^-2=1/25 A more technical definition is to reverse the numerator and denominator and then apply the power. Remember 5 is the same as 5/1, so (5^-2)/1=1/(5^2)=1/25(The symbol for "to the power of" is "^" just to let you know.)
258
Evaluate simply means work out. You times the first number by itself. The second number which is is small and beside the top corner of the first number decides how many times the first number gets times by itself. Here are 4 examples: 2 to the power of 4 = 2 x 2 x 2 x 2= 16 3 to the power of 3 = 3 x 3 x 3= 27 4 to the power of 3= 4 x 4 x 4= 64 5 to the power of 5 = 5 x 5 x 5 x 5 x 5= 3125
5 to the 3 power is 5 cubed written as 53
3 over 5
Since 3/5 = .60 and 5/9 = .55, then no, 3/5 is not less than 5/9. To calculate this, you simply divide 3 by 5 and 5 by 9.
45.
(2^5)/2 - (2^(3/2)) = 12
4fg^-5 / 5h^-3 = 4fh^3/5g^5
They are not! 5-3, for example is not 1/52 nor (1/5)2.
First, 5 + 1 = 6. Then you have 6/3 which reduces to 2 (that is simply a matter of doing the division).
It's the inverse of the number raised to the power. 2 to the power of negative 3 would be 1/8th.1 over 25Improvement(shininggallade):When raising a whole number to a negative power, simply raise 5 to the second power, which is 25, and put a 1 over it. 5^-2=1/25 A more technical definition is to reverse the numerator and denominator and then apply the power. Remember 5 is the same as 5/1, so (5^-2)/1=1/(5^2)=1/25(The symbol for "to the power of" is "^" just to let you know.)
16
3
Convert that to an improper fraction first. Then, to get the reciprocal, simply exchange numerator and denominator.
It is equivalent to 1 over 5 to the power of 5, or 1 over 3125.
(-2/5)3 = - 0.064 -2 / (53) = - 0.016