Simplify (2a^3b^-4)/(3a^5b^-2)

Math
2a3b-43a5b-2
Move b-4 to the denominator using the negative exponent rule b-n=1bn.
2a33a5b-2b4
Multiply b-2 by b4 by adding the exponents.
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Move b4.
2a33a5(b4b-2)
Use the power rule aman=am+n to combine exponents.
2a33a5b4-2
Subtract 2 from 4.
2a33a5b2
2a33a5b2
Cancel the common factor of a3 and a5.
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Factor a3 out of 2a3.
a3⋅23a5b2
Cancel the common factors.
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Factor a3 out of 3a5b2.
a3⋅2a3(3a2b2)
Cancel the common factor.
a3⋅2a3(3a2b2)
Rewrite the expression.
23a2b2
23a2b2
23a2b2
Simplify (2a^3b^-4)/(3a^5b^-2)

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