Basic Math Examples

Solve for d 3.14(d/2)^2=(57*9.8)/(2.1*10^8)
Step 1
Simplify.
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Step 1.1
Multiply by .
Step 1.2
Divide using scientific notation.
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Step 1.2.1
Group coefficients together and exponents together to divide numbers in scientific notation.
Step 1.2.2
Divide by .
Step 1.2.3
Move to the numerator using the negative exponent rule .
Step 1.3
Move the decimal point in to the left by places and increase the power of by .
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Divide by .
Step 2.2.2
Simplify the expression.
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Step 2.2.2.1
Apply the product rule to .
Step 2.2.2.2
Raise to the power of .
Step 2.3
Simplify the right side.
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Step 2.3.1
Divide using scientific notation.
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Step 2.3.1.1
Group coefficients together and exponents together to divide numbers in scientific notation.
Step 2.3.1.2
Divide by .
Step 2.3.1.3
Divide by .
Step 2.3.2
Move the decimal point in to the right by place and decrease the power of by .
Step 3
Multiply both sides of the equation by .
Step 4
Simplify both sides of the equation.
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Step 4.1
Simplify the left side.
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Step 4.1.1
Cancel the common factor of .
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Step 4.1.1.1
Cancel the common factor.
Step 4.1.1.2
Rewrite the expression.
Step 4.2
Simplify the right side.
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Step 4.2.1
Simplify .
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Step 4.2.1.1
Multiply by .
Step 4.2.1.2
Move the decimal point in to the left by place and increase the power of by .
Step 5
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 6
Simplify .
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Step 6.1
Rewrite as .
Step 6.2
Evaluate the root.
Step 6.3
Rewrite as .
Step 6.4
Pull terms out from under the radical, assuming positive real numbers.
Step 7
The complete solution is the result of both the positive and negative portions of the solution.
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Step 7.1
First, use the positive value of the to find the first solution.
Step 7.2
Next, use the negative value of the to find the second solution.
Step 7.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 8
The result can be shown in multiple forms.
Scientific Notation:
Expanded Form: