Divide (40/(7y^2))÷45y^2

407y2÷45y2
Rewrite the division as a fraction.
407y245y2
Multiply the numerator by the reciprocal of the denominator.
407y2⋅145y2
Cancel the common factor of 5.
Factor 5 out of 40.
5(8)7y2⋅145y2
Factor 5 out of 45y2.
5(8)7y2⋅15(9y2)
Cancel the common factor.
5⋅87y2⋅15(9y2)
Rewrite the expression.
87y2⋅19y2
87y2⋅19y2
Multiply 87y2 and 19y2.
87y2(9y2)
Multiply 9 by 7.
863y2y2
Multiply y2 by y2 by adding the exponents.
Move y2.
863(y2y2)
Use the power rule aman=am+n to combine exponents.
863y2+2