# Solve for h h^2*r^2=16^2 h2⋅r2=162
Divide each term by r2 and simplify.
Divide each term in h2⋅r2=162 by r2.
h2⋅r2r2=162r2
Cancel the common factor of r2.
Cancel the common factor.
h2⋅r2r2=162r2
Divide h2 by 1.
h2=162r2
h2=162r2
Raise 16 to the power of 2.
h2=256r2
h2=256r2
Take the square root of both sides of the equation to eliminate the exponent on the left side.
h=±(256r2)12
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Apply the product rule to 256r2.
h=±25612(r2)12
Simplify the numerator.
Rewrite 256 as 162.
h=±(162)12(r2)12
Apply the power rule and multiply exponents, (am)n=amn.
h=±162(12)(r2)12
Cancel the common factor of 2.
Cancel the common factor.
h=±162(12)(r2)12
Rewrite the expression.
h=±16(r2)12
h=±16(r2)12
Evaluate the exponent.
h=±16(r2)12
h=±16(r2)12
Simplify the denominator.
Multiply the exponents in (r2)12.
Apply the power rule and multiply exponents, (am)n=amn.
h=±16r2(12)
Cancel the common factor of 2.
Cancel the common factor.
h=±16r2(12)
Rewrite the expression.
h=±16r
h=±16r
h=±16r
Simplify.
h=±16r
h=±16r
h=±16r
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
h=16r
Next, use the negative value of the ± to find the second solution.
h=-16r
The complete solution is the result of both the positive and negative portions of the solution.
h=16r
h=-16r
h=16r
h=-16r
h=16r
h=-16r
Solve for h h^2*r^2=16^2

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