x2y4z6-121 Use the difference of two squares to factorise:- (xy2z3-11)(xy2z3+11)
11
220 = 22*5*11
The exponent of 88 refers to the power to which a base number must be raised to equal 88. In this case, we need to find the exponent in an exponential expression like ( b^x = 88 ). To determine the exponent, we can express 88 as a product of prime factors, which is 2^3 * 11. Therefore, the exponent of 88 is 3 when expressed in terms of its prime factorization.
11
If the exponent or raised power of a number is in the form of p/q the exponent is said to be rational exponent. For example= 11/2 22/3
The base could be 11 and the exponent 2, giving 112 But, it could equally be base = 14641, and exponent = 0.5, or base = 10, and exponent = 2.082785 (approx)
x2y4z6-121 Use the difference of two squares to factorise:- (xy2z3-11)(xy2z3+11)
11
0.000000000071
2 x 2 x 11 x 11 x 13 = 6292 2^2 x 11^2 x 13 = 6292
220 = 22*5*11
2772 = 22*32*7*11
It is the latter that is less than the former
The implied exponent of any single number is 1.
165 = 3*5*11
You can choose the base to be any number (other than 0, -1 and 1) and calculate the appropriate exponent, or you can choose any exponent and calculate the appropriate base. For example, base 10: 121 = 10^2.08278537 (approx) Or exponent = 10: 121 = 1.615394266^10 (approx). I expect, though, that the answer that is required is 121 = 11^2.