Evaluate (4^7)^3*(4^-4)^2

Math
(47)3⋅(4-4)2
Multiply the exponents in (47)3.
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Apply the power rule and multiply exponents, (am)n=amn.
47⋅3⋅(4-4)2
Multiply 7 by 3.
421⋅(4-4)2
421⋅(4-4)2
Raise 4 to the power of 21.
4398046511104⋅(4-4)2
Multiply the exponents in (4-4)2.
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Apply the power rule and multiply exponents, (am)n=amn.
4398046511104⋅4-4⋅2
Multiply -4 by 2.
4398046511104⋅4-8
4398046511104⋅4-8
Rewrite the expression using the negative exponent rule b-n=1bn.
4398046511104⋅148
Raise 4 to the power of 8.
4398046511104⋅165536
Cancel the common factor of 65536.
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Factor 65536 out of 4398046511104.
65536(67108864)⋅165536
Cancel the common factor.
65536⋅67108864⋅165536
Rewrite the expression.
67108864
67108864
Evaluate (4^7)^3*(4^-4)^2

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