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What do you do if the base number is not a fraction but the exponent is a fraction?

Consider have x^(p/q) where the base, x, is a whole number. p and q are also whole numbers (q is not 0) so that the exponent, p/q, is a fraction. Then x^(p/q) = (x^p)^(1/q), that is, the qth root of x^p or equivalently, x^(p/q) = [x^(1/q)]^p, that is, the pth power of the qth root of x. For example, 64^(2/3) = 3rd root of 64^2 = 3rd [cube] root of 4096 = 16 or (cube root of 64)^2 = 4^2 = 16. If p/q is negative, the answer is the reciprocal of the answer obtained with positive p/q.


What is the perimeter and area formula for a rhombus?

P = 4*a (a is side length) Area = p*q/2 (p=perimeter, q=diagonal


The contra-positive of the formula p-q?

jnjklkm


If p equals 0.35 what is q?

In probability theory, if ( p ) represents the probability of an event occurring, then ( q ) is typically defined as the probability of the event not occurring. Therefore, if ( p = 0.35 ), you can calculate ( q ) using the formula ( q = 1 - p ). Thus, ( q = 1 - 0.35 = 0.65 ).


What is the discharge formula for centrifugal pump?

q= p/(row)gh


If p q and q r then p r. Converse statement B.A syllogism C.Contrapositive statement D.Inverse statement?

Converse: If p r then p q and q rContrapositive: If not p r then not (p q and q r) = If not p r then not p q or not q r Inverse: If not p q and q r then not p r = If not p q or not q r then not p r


Is the cube root of 5 irrational?

Yes it is. There is no fraction which, when cubed, equates to 5. Consider n = p/q where p and q are integers expressed in lowest terms (they are relatively prime). If n3 = 5, then p3 / q3 = 5. This equates to an integer if and only if q3 = 1 meaning q = 1 or if p3 is divisible by q3. The latter is impossible since p and q are relatively prime. Thus, for n to be the cube root of 5 and be rational, it must be an integer. No integer cubes to 5 (1, 8, ...). Thus, the cube root of 5 is irrational.


What is the formula of rational function?

f(x) = P(x)/Q(x) where P(x) and P(x) are polynomials and P(x) is not zero.


P isthe center of one face of a cube and Q isthe center ofthe opposite face Ifthe length of the shortest possible path from P to Q alongthe outer surface ofthe cube is 2radic2 centi what's vol of cube?

The shortest path from P to Q along the surface of the cube will be one that goes from P, to the center point on any edge, to the opposite side, and then to Q. The length of that will be L + L/2 + L/2, or 2L, where L is the length of any side of the cube. We are told that this distance is equal to 2√2, so we can say: 2L = 2√2 cm ∴ L = √2 cm The volume of the cube will be that length, cubed, or L3, which means we can say: V = L3 ∴ V = (√2 cm)3 ∴ V = (21/2)3 cm3 ∴ V = 23/2 cm3


What is the sum or difference of p and q?

The sum of p and q means (p+q). The difference of p and q means (p-q).


What is q²-p² divided by q-p?

q + p


What is the truth table for p arrow q?

Not sure I can do a table here but: P True, Q True then P -> Q True P True, Q False then P -> Q False P False, Q True then P -> Q True P False, Q False then P -> Q True It is the same as not(P) OR Q