65536
When a negative number is raised to an even power, the result is always positive. Therefore, (-1)^4 equals 1. This is because multiplying a negative number by itself an even number of times will always result in a positive value.
Since 2^2=4 ........1 and 2*0=0 ..........2 Dividing both sides of equation 1 by 2^2 2^2/2^2=4/2^2 => 2^(2-2)=4/4 or 2^0=1 (QED)
1/4 times 2/3 = (1 times 2)/(4 times 3) = 4/6 = 2/3
2^4 * 2^3 16 * 8 128
4^(-2) = 1/4^2 = 1/16.
1
30 x 22 = 1 x 4 = 4
The powers of the primes are: 4, 2, 1 and 1 So the number of divisors are (4+1)*(2+1)*(1+1)*(1+1) = 5*3*2*2 = 60
It is: 2 to the power 4 times 7 to the power 2 = 784
2^-4 x 6^-4 = (2 x 6)^-4 = 12^-4 = (1/12)^4 = 1/20736 ≈ 0.000048225
I use the ^ symbol to mean 'to the power of' and * to mean multiply. You want to find i^21 Remember i^4 = i^2 * i^2 = -1 * -1 = 1 So i^21 = i^4 * i^4 * i^4 * i^4 * i^4 * i^1 = 1 * 1 * 1 * 1 * 1 * i = i.
4 to the power of 2 is 42 = 164 to the power of negative 2 is 4-2 = 1/42 = 1/16As far as "how much greater" - that depends on what you meanIf you mean what is the size of the difference...16 - 1/16 = 15 15/16 = 15.9375 so 4² is 15.9375 greater than 1/4²If you mean the ratio...42/4-2 = 44 = 256 so 42 is 256 times the size of 4-2 or 255 times bigger(i.e. 42 = 4-2 + 255·4-2)
2/4 = 1/2 therefore 1/2 times 2/4 is the same as 1/2 times 1/2 which = 1/4
The GCF of 108 and 144 is 36, or 2^2 x 3^2
When a negative number is raised to an even power, the result is always positive. Therefore, (-1)^4 equals 1. This is because multiplying a negative number by itself an even number of times will always result in a positive value.
Since 2^2=4 ........1 and 2*0=0 ..........2 Dividing both sides of equation 1 by 2^2 2^2/2^2=4/2^2 => 2^(2-2)=4/4 or 2^0=1 (QED)
1/4 times 2/3 = (1 times 2)/(4 times 3) = 4/6 = 2/3