How do you solve for a variable raised to a power?

How do you solve for a variable raised to a power?

Equations in which a variable expression is raised to a rational exponent can be solved by raising both sides of the equation to the reciprocal of the exponent. The reason the expression is raised to the reciprocal of its exponent is because the product of a number and its reciprocal is one.

How do you solve a linear equation with powers?

Simplify each side of the equation. Set the equation equal to zero. Factor the left side of the equation. Set factors equal to zero and solve.

What is the return type of Math pow () function?

pow() is used to return the value of first argument raised to the power of the second argument. The return type of pow() method is double.

Does Math POW return a double?

The signature of the pow() method is as follows: The method calculates multiplication of the base with itself exponent times and returns the result of type double .

Can you solve an equation with a power of 3?

I can solve the equation if I can express the ” 27 ” as a power of 3. Since 27 = 33, then I can convert and proceed with the solution: If I’m not sure of my answer, or if I want to check it before I hand it in (on, say, a test), I can check it by plugging it back into the original exercise.

How to solve equations to the fourth power?

So we seek a solution of the form x = divisor of 1296 divisor of 1 As the only divisors of 1 are 1 and -1, we need only look at integer values. 1296 has the prime factorisation 1296 = 24 × 34 and from here, we just need to start substituting trial values in until we find a root.

Do you have to equate powers to solve exponential equations?

Since the powers must be the same, then we can set the two powers equal to each other, and solve the resulting equation. Since the bases are the same, then I can equate the powers and solve: Not all exponential equations are given in terms of the same base on either side of the “equals” sign.

Can you write both 4 and 8 as power of 2?

The first thing to do in this problem is to get the same base on both sides and to so that we’ll have to note that we can write both 4 and 8 as a power of 2. So let’s do that. It’s now time to take care of the fraction on the right side.