# Simplify ((5a^2)(10b^3))÷2a^3(25b^-2) (5a2)(10b3)÷2a3(25b-2)
Rewrite the division as a fraction.
(5a2)(10b3)2a3(25b-2)
Move b-2 to the numerator using the negative exponent rule 1b-n=bn.
(5a2)(10b3)b22a3⋅25
Multiply b3 by b2 by adding the exponents.
Move b2.
5a2(10(b2b3))2a3⋅25
Use the power rule aman=am+n to combine exponents.
5a2(10b2+3)2a3⋅25
5a2(10b5)2a3⋅25
5a2(10b5)2a3⋅25
Cancel the common factor of 5 and 25.
Factor 5 out of 5a2(10b5).
5(a2(10b5))2a3⋅25
Cancel the common factors.
Factor 5 out of 2a3⋅25.
5(a2(10b5))5(2a3⋅5)
Cancel the common factor.
5(a2(10b5))5(2a3⋅5)
Rewrite the expression.
a2(10b5)2a3⋅5
a2(10b5)2a3⋅5
a2(10b5)2a3⋅5
Cancel the common factors.
Factor a2 out of 2a3⋅5.
a2(10b5)a2(2a⋅5)
Cancel the common factor.
a2(10b5)a2(2a⋅5)
Rewrite the expression.
10b52a⋅5
10b52a⋅5
Cancel the common factor of 10 and 2.
Factor 2 out of 10b5.
2(5b5)2a⋅5
Cancel the common factors.
Factor 2 out of 2a⋅5.
2(5b5)2(a⋅5)
Cancel the common factor.
2(5b5)2(a⋅5)
Rewrite the expression.
5b5a⋅5
5b5a⋅5
5b5a⋅5
Cancel the common factor of 5.
Cancel the common factor.
5b5a⋅5
Rewrite the expression.
b5a
b5a
Simplify ((5a^2)(10b^3))÷2a^3(25b^-2)

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