Solve for h h^2*r^2=16^2

Math
h2⋅r2=162
Divide each term by r2 and simplify.
Tap for more steps…
Divide each term in h2⋅r2=162 by r2.
h2⋅r2r2=162r2
Cancel the common factor of r2.
Tap for more steps…
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.
Tap for more steps…
Simplify the right side of the equation.
Tap for more steps…
Apply the product rule to 256r2.
h=±25612(r2)12
Simplify the numerator.
Tap for more steps…
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.
Tap for more steps…
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.
Tap for more steps…
Multiply the exponents in (r2)12.
Tap for more steps…
Apply the power rule and multiply exponents, (am)n=amn.
h=±16r2(12)
Cancel the common factor of 2.
Tap for more steps…
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.
Tap for more steps…
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

Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top