# Evaluate ((8^4)^2)/((4^5)^3) (84)2(45)3
Simplify the numerator.
Multiply the exponents in (84)2.
Apply the power rule and multiply exponents, (am)n=amn.
84⋅2(45)3
Multiply 4 by 2.
88(45)3
88(45)3
Raise 8 to the power of 8.
16777216(45)3
16777216(45)3
Simplify the denominator.
Multiply the exponents in (45)3.
Apply the power rule and multiply exponents, (am)n=amn.
1677721645⋅3
Multiply 5 by 3.
16777216415
16777216415
Raise 4 to the power of 15.
167772161073741824
167772161073741824
Cancel the common factor of 16777216 and 1073741824.
Factor 16777216 out of 16777216.
16777216(1)1073741824
Cancel the common factors.
Factor 16777216 out of 1073741824.
16777216⋅116777216⋅64
Cancel the common factor.
16777216⋅116777216⋅64
Rewrite the expression.
164
164
164
The result can be shown in multiple forms.
Exact Form:
164
Decimal Form:
0.015625
Evaluate ((8^4)^2)/((4^5)^3)

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