Pre-Algebra Examples

Simplify ((10p^3q^3)/(2p^2q))÷((5pq)/(6pq^2))
Step 1
To divide by a fraction, multiply by its reciprocal.
Step 2
Combine.
Step 3
Multiply by by adding the exponents.
Tap for more steps...
Step 3.1
Move .
Step 3.2
Multiply by .
Tap for more steps...
Step 3.2.1
Raise to the power of .
Step 3.2.2
Use the power rule to combine exponents.
Step 3.3
Add and .
Step 4
Multiply by by adding the exponents.
Tap for more steps...
Step 4.1
Move .
Step 4.2
Use the power rule to combine exponents.
Step 4.3
Add and .
Step 5
Multiply by by adding the exponents.
Tap for more steps...
Step 5.1
Move .
Step 5.2
Multiply by .
Tap for more steps...
Step 5.2.1
Raise to the power of .
Step 5.2.2
Use the power rule to combine exponents.
Step 5.3
Add and .
Step 6
Multiply by by adding the exponents.
Tap for more steps...
Step 6.1
Move .
Step 6.2
Multiply by .
Step 7
Cancel the common factor of and .
Tap for more steps...
Step 7.1
Factor out of .
Step 7.2
Cancel the common factors.
Tap for more steps...
Step 7.2.1
Factor out of .
Step 7.2.2
Cancel the common factor.
Step 7.2.3
Rewrite the expression.
Step 8
Cancel the common factor of .
Tap for more steps...
Step 8.1
Cancel the common factor.
Step 8.2
Rewrite the expression.
Step 9
Cancel the common factor of and .
Tap for more steps...
Step 9.1
Factor out of .
Step 9.2
Cancel the common factors.
Tap for more steps...
Step 9.2.1
Factor out of .
Step 9.2.2
Cancel the common factor.
Step 9.2.3
Rewrite the expression.
Step 10
Cancel the common factor of and .
Tap for more steps...
Step 10.1
Factor out of .
Step 10.2
Cancel the common factors.
Tap for more steps...
Step 10.2.1
Multiply by .
Step 10.2.2
Cancel the common factor.
Step 10.2.3
Rewrite the expression.
Step 10.2.4
Divide by .
Step 11
Move to the left of .