Sponsored links: Algebra eBooks
 

Help Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

The Maxima on-line user's manual

Algebra Calculator

Search:

Hipow Calculator

Hipow

Function: hipow (<expr>, <x>) Returns the highest explicit exponent of <x> in <expr>. <x> may be a variable or a general expression. If <x> does not appear in <expr>, hipow returns 0.

hipow does not consider expressions equivalent to expr. In particular, hipow does not expand expr, so hipow (<expr>, <x>) and hipow (expand (<expr>, <x>)) may yield different results.

Examples:

          (%i1) hipow (y^3 * x^2 + x * y^4, x);
          (%o1)                           2
          (%i2) hipow ((x + y)^5, x);
          (%o2)                           1
          (%i3) hipow (expand ((x + y)^5), x);
          (%o3)                           5
          (%i4) hipow ((x + y)^5, x + y);
          (%o4)                           5
          (%i5) hipow (expand ((x + y)^5), x + y);
          (%o5)                           0

(%o1)                                true
(%i2) 

Hipow Example

Related Examples

hipow-is-lopow-subst

answer:a*b+c;

is(hipow(subst([c=x,b...

Calculate

hipow-is-lopow-subst

answer:a*b+c;

is(hipow(subst([c=x,b...

Calculate

hipow

hipow(a^2*b^3+a^2*b,b);

Calculate

hipow-is-length-reveal-solve-split-sqrt-string

answer: x-2*sqrt(x)-8=0;

answer2: solve(x^2=1);

hipow(answer,x);

Calculate

hipow-is

hipow(x=1,x);

is(hipow(x=1,x)=1);

is(hipow(x=1,x)=1 and...

Calculate

hipow-is-lopow

hipow(x=1,x);

lopow(x=1,x);

is(hipow(x=1,x)=1);

Calculate

hipow-is-lopow

eq:x*4;

is(lopow(eq,x)=1);

is(hipow(eq,x)=1);

Calculate

hipow-ratsimp

answer: x^3+3*x^2+x+1...

hipow(answer,x);

ratsimp(answer);

Calculate

hipow-is-lhs-part-rhs

aa: x^2=x+5;

bb: lhs(aa)-rhs(aa);

part(bb,1);

Calculate

hipow

p:x^3-3*x^2+5*x-1;

n:hipow(p,x);

Calculate