# Evaluate ((21)^3)/((15)^2)*((35)^5)/((14)^10)*((80)^3)/((30)^2)

(21)3(15)2⋅(35)5(14)10⋅(80)3(30)2
Evaluate the exponents.
Raise 80 to the power of 3.
(21)3(15)2⋅(35)5(14)10⋅512000(30)2
Raise 30 to the power of 2.
(21)3(15)2⋅(35)5(14)10⋅512000900
Raise 21 to the power of 3.
9261(15)2⋅(35)5(14)10⋅512000900
Raise 15 to the power of 2.
9261225⋅(35)5(14)10⋅512000900
Raise 35 to the power of 5.
9261225⋅52521875(14)10⋅512000900
Raise 14 to the power of 10.
9261225⋅52521875289254654976⋅512000900
9261225⋅52521875289254654976⋅512000900
Cancel the common factor of 343.
Factor 343 out of 9261.
343(27)225⋅52521875289254654976⋅512000900
Factor 343 out of 289254654976.
343⋅27225⋅52521875343⋅843308032⋅512000900
Cancel the common factor.
343⋅27225⋅52521875343⋅843308032⋅512000900
Rewrite the expression.
27225⋅52521875843308032⋅512000900
27225⋅52521875843308032⋅512000900
Cancel the common factor of 25.
Factor 25 out of 225.
2725(9)⋅52521875843308032⋅512000900
Factor 25 out of 52521875.
2725⋅9⋅25⋅2100875843308032⋅512000900
Cancel the common factor.
2725⋅9⋅25⋅2100875843308032⋅512000900
Rewrite the expression.
279⋅2100875843308032⋅512000900
279⋅2100875843308032⋅512000900
Multiply 279 and 2100875843308032.
27⋅21008759⋅843308032⋅512000900
Multiply.
Multiply 27 by 2100875.
567236259⋅843308032⋅512000900
Multiply 9 by 843308032.
567236257589772288⋅512000900
567236257589772288⋅512000900
Cancel the common factor of 225.
Factor 225 out of 56723625.
225(252105)7589772288⋅512000900
Factor 225 out of 900.
225⋅2521057589772288⋅512000225⋅4
Cancel the common factor.
225⋅2521057589772288⋅512000225⋅4
Rewrite the expression.
2521057589772288⋅5120004
2521057589772288⋅5120004
Cancel the common factor of 1024.
Factor 1024 out of 7589772288.
2521051024(7411887)⋅5120004
Factor 1024 out of 512000.
2521051024⋅7411887⋅1024⋅5004
Cancel the common factor.
2521051024⋅7411887⋅1024⋅5004
Rewrite the expression.
2521057411887⋅5004
2521057411887⋅5004
Multiply 2521057411887 and 5004.
252105⋅5007411887⋅4
Multiply.
Multiply 252105 by 500.
1260525007411887⋅4
Multiply 7411887 by 4.
12605250029647548
12605250029647548
Cancel the common factor of 126052500 and 29647548.
Factor 201684 out of 126052500.
201684(625)29647548
Cancel the common factors.
Factor 201684 out of 29647548.
201684⋅625201684⋅147
Cancel the common factor.
201684⋅625201684⋅147
Rewrite the expression.
625147
625147
625147
The result can be shown in multiple forms.
Exact Form:
625147
Decimal Form:
4.25170068…
Mixed Number Form:
437147
Evaluate ((21)^3)/((15)^2)*((35)^5)/((14)^10)*((80)^3)/((30)^2)

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