Basic Math Examples

Simplify ((4m^5)/3)^3*((2n)^3)/(64m^8)
Step 1
Simplify the numerator.
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Step 1.1
Apply the product rule to .
Step 1.2
Raise to the power of .
Step 2
Use the power rule to distribute the exponent.
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Step 2.1
Apply the product rule to .
Step 2.2
Apply the product rule to .
Step 3
Simplify terms.
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Step 3.1
Combine.
Step 3.2
Cancel the common factor of and .
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Step 3.2.1
Factor out of .
Step 3.2.2
Cancel the common factors.
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Step 3.2.2.1
Factor out of .
Step 3.2.2.2
Cancel the common factor.
Step 3.2.2.3
Rewrite the expression.
Step 4
Simplify the numerator.
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Step 4.1
Raise to the power of .
Step 4.2
Multiply the exponents in .
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Step 4.2.1
Apply the power rule and multiply exponents, .
Step 4.2.2
Multiply by .
Step 5
Simplify the denominator.
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Step 5.1
Raise to the power of .
Step 5.2
Multiply by .
Step 6
Reduce the expression by cancelling the common factors.
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Step 6.1
Cancel the common factor of and .
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Step 6.1.1
Factor out of .
Step 6.1.2
Cancel the common factors.
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Step 6.1.2.1
Factor out of .
Step 6.1.2.2
Cancel the common factor.
Step 6.1.2.3
Rewrite the expression.
Step 6.2
Cancel the common factor of and .
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Step 6.2.1
Factor out of .
Step 6.2.2
Cancel the common factors.
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Step 6.2.2.1
Factor out of .
Step 6.2.2.2
Cancel the common factor.
Step 6.2.2.3
Rewrite the expression.