Solve for w 3w*w=48

3w⋅w=48
Simplify.
Raise w to the power of 1.
3(w1w)=48
Raise w to the power of 1.
3(w1w1)=48
Use the power rule aman=am+n to combine exponents.
3w1+1=48
3w2=48
3w2=48
Divide each term by 3 and simplify.
Divide each term in 3w2=48 by 3.
3w23=483
Cancel the common factor of 3.
Cancel the common factor.
3w23=483
Divide w2 by 1.
w2=483
w2=483
Divide 48 by 3.
w2=16
w2=16
Take the square root of both sides of the equation to eliminate the exponent on the left side.
w=±16
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 16 as 42.
w=±42
Pull terms out from under the radical, assuming positive real numbers.
w=±4
w=±4
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.
w=4
Next, use the negative value of the ± to find the second solution.
w=-4
The complete solution is the result of both the positive and negative portions of the solution.
w=4,-4
w=4,-4
w=4,-4
Solve for w 3w*w=48

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