6^4 = 1,296
1/4 to the sixth power (0.256) equals 0.0002
YES!!! 10^(2) X 10^(4) = 10^(2 + 4) = 10^(6) Rules for indices, #1 ; the coefficient MUST be the same in both numbers. #2 ; for multiplication you ADD the indices #3 ; for division you subtract the indices #4 ; for 'nesting' you multiply the indices., Using your figures '- #1 is satisfied as the coefficient is the same , at '10', in both terms. #2 as per the question multiplication 10^(2) X 10^(4) = 10^(2+4) = 10^(6) #3 If dividing 10^(2) / 10^(4) = 10^(2 - 4) = 10^(-2) - 1/10^(2) = 1/100 #4 if 'nesting' (10^(2))^(4) = 10^(2 x 4) = 10^(8) = 100,000,000 Similarly 2^(3) X 2^( 6) = 2^(3 + 6) = 2^(9) However, 2^(3) X 3^(2) cannot be done as the coefficients are different.
a math question
fourth term of X-Y to the sixth power
100 times less
24u to the second power. Differentiate 40u to the fifth power which is 200u to the fourth power and 5u to the second power which is 10u. Subtract 400u to the sixth power from 1000u to the sixth power which is 600u to the sixth power. Then square 5u to the second power which is 25u to the fourth power. Finally, divide 600u to the sixth power by 25u to the fourth power. The solution is 24u to the second power. Another method is simplifying it to 8u cubed (to the third power) and taking the power rule. Take 3 times 8u which is 24u and subtract 1 from 3 in exponent which is 2. The answer is 24u to the second power.
The prime numbers up to seventh term are 2,3,5,7,11,13,17..... The fourth prime is '7' and the sixth prime is 13 7 x 13 = 91 NB '91' is NOT a prime numbers , because it is the composite(multiplication) of two smaller numbers.
one sixth will be lesser than one fourth
r^(4) / r^(6) = r^(4-6) = r^(-2) = 1/r^(2) Rules for manipulation of indicies. #1 ; the coefficient MUST be the same . 'r' in this case #2 ; for multiplication ; ; add the indices #3 ; for division ; subtract the indices #4 ' for 'nesting' ; multiply the indices Careful something of the nature 'r^(2)' X s^(3)' CANNOT be done as the coefficients ''r' & 's' are different. The coefficients MUST be the same
-24a6-30a5+12a4 = 6a2(-4a4-5a3+2a2)
There hasn't been a fourth or fifth yet. The fourth one is in production. A sixth one is unlikely.
1/6 & 1/4 As the rule ; the LARGER the denominator , the smaller the fraction. To compare the above fractions. Bring both to the same denominator and equivalent numerator 1/6 = 2/12 1/4 = 3/12 Compare the numerators(top) numbers. 2 < 3 Hence 2/12 < 3/12 implies 1/6 < 1/4