Calculate the - 2011 power of (0.5) * (- 2) to the - 2012 power of (0.5)

Calculate the - 2011 power of (0.5) * (- 2) to the - 2012 power of (0.5)

It should be:
Original formula = - 2011 power of (0.5) * - 2011 power of (- 2) * - 1 power of (- 2)
=(0.5 * (- 2)) - 2011 power * (- 2) - 1 power of (- 2)
=- 2011 power of (- 1) * - 1 power of (- 2)
=0.5

Find the tenth power of 2 - the ninth power of 2 - the eighth power of 2 - ······ - 2's quadratic power - 2=

2^0+2^1+2^2+…… +2^n=2^(n+1)-1
∴2^10-2^9-2^8…… -2=2^10-（2^9+2^8+…… +2）=2^10-（2^10-1-1）=2

The square of 2-2 - the third power of 2 - the fourth power of 2 - -The ninth power of 2 + the tenth power of 2

0

0

A=a^4-2a^2+1,
B=-3a^4+2,
3A=3a^4-6a^2+3
3A-B=3a^4-6a^2+3+3a^4-2=6a^4-6a^2+1

Calculation: (2a to the 3rd power B to the 4th power) to the 2nd power + (- 3a to the 3rd power of B to the 4th power) to the 3rd power of (- A to the 3rd power of B to the 4th power)

0

0

Original formula = - 4A cube + 6A square - 2a-2a square + two thirds A-1
=-The cube of 4A + the square of 4A - half A-1

Try to calculate the 2013 power of (0.04) times the 1007 power of [(- 25))

The original formula = (0.04) is 2013 power × [(25) 2] is 1007 power
=(0.04) to the 2013 power × 25 to the 2014 power
=The 2013 power of (0.04 × 25) is × 25
=The 2013 power of 1 × 25
=25

Calculation: (- 1) to the 1st power + (- 1) to the 2nd power +. + (- 1) to the 2013 power

The first power of (- 1) + (- 1) +. + (- 1) is 2013 power
=-1+1-1+1-...-1
=-1
Do not understand can ask, help please adopt, thank you!

Find the square of 1 + 2 + 2 + 3 of 2 +... " +2 to the 2013 power Let s = 1 + 2 + 2 ^ 2 + 2 ^ 3 + +2^2013, Then 2S = 2 * (1 + 2 + 2 ^ 2 + 2 ^ 3 + +2^2013）=2+2^2+2^3+…… +2^2013+2^2014 Find 2s-s=______ s=______ The square of 2 + 2 + 3 of 2 + The 2013 power of 2=________ (1) 1 / 2 + (1 / 2) squared + (1 / 2) to the 3rd power +... " (1 / 2) to the 70th power=__________________ (2) Calculation: the square of 1-3 + 3 - the third power of 3 + the fourth power of 3 -The 99th power of 3 + the 100th power of 3 ·········To process~···········

2s-s = 2 ^ 2014-1s = 2 ^ 2014-12 + 2 squared + 2 to the third power + 2's 2013 power = 2 ^ 2014-1 (1) let s = 1 / 2 + (1 / 2) square + (1 / 2) power +... " The 70th power of (1 / 2) s / 2 = (1 / 2) * (1 / 2) + (1 / 2) square + (1 / 2) 3rd power +... " (1 / 2) 70 times

It is known that the negative first power of S = 1 + 2 + the negative quadratic power of 2 + the negative cubic power of 2 + 2 to the negative 2013 power, to find the value of S

2s=2+1+2^(-1)+...+2^(-2012)
∴s=2s-s=2-2^(-2013)