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The Maxima on-line user's manual

Algebra Calculator

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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-showratvars

eq: x^a+b*x^c;

hipow(eq,x);

showratvars(eq);

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

eq:x;

hipow(x,eq);

Calculate

hipow-is-lopow

eq:x*4;

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

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

Calculate

hipow

eq:x;

hipow(x,eq1);

Calculate

hipow

answer: x^3-x^3;

hipow(answer);

simplify(answer);

Calculate

hipow-is

answer:x+y-2=0;

is(hipow(answer,x)#2);

Calculate

hipow-is-lopow

eq:x*4;

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

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

Calculate

hipow-is-lopow

eq:x*4;

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

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

Calculate

hipow-is-lopow

hipow(x=1,x);

lopow(x=1,x);

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

Calculate