Basic Math Examples

Simplify ((4m^6m^-3)^3)÷(m^2)
Step 1
Rewrite the division as a fraction.
Step 2
Simplify the numerator.
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Step 2.1
Apply the product rule to .
Step 2.2
Apply the product rule to .
Step 2.3
Raise to the power of .
Step 2.4
Multiply the exponents in .
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Step 2.4.1
Apply the power rule and multiply exponents, .
Step 2.4.2
Multiply by .
Step 2.5
Multiply the exponents in .
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Step 2.5.1
Apply the power rule and multiply exponents, .
Step 2.5.2
Multiply by .
Step 2.6
Rewrite the expression using the negative exponent rule .
Step 2.7
Combine exponents.
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Step 2.7.1
Combine and .
Step 2.7.2
Combine and .
Step 2.8
Reduce the expression by cancelling the common factors.
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Step 2.8.1
Reduce the expression by cancelling the common factors.
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Step 2.8.1.1
Factor out of .
Step 2.8.1.2
Multiply by .
Step 2.8.1.3
Cancel the common factor.
Step 2.8.1.4
Rewrite the expression.
Step 2.8.2
Divide by .
Step 3
Reduce the expression by cancelling the common factors.
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Step 3.1
Cancel the common factor of and .
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Step 3.1.1
Factor out of .
Step 3.1.2
Cancel the common factors.
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Step 3.1.2.1
Multiply by .
Step 3.1.2.2
Cancel the common factor.
Step 3.1.2.3
Rewrite the expression.
Step 3.1.2.4
Divide by .
Step 3.2
Move to the left of .