# Evaluate (1/256)÷((1/4)^7)

1256÷(14)7
Rewrite the division as a fraction.
1256(14)7
Multiply the numerator by the reciprocal of the denominator.
1256⋅1(14)7
Simplify the denominator.
Apply the product rule to 14.
1256⋅11747
One to any power is one.
1256⋅1147
Raise 4 to the power of 7.
1256⋅1116384
1256⋅1116384
Reduce the expression by cancelling the common factors.
Multiply the numerator by the reciprocal of the denominator.
1256(1⋅16384)
Multiply 16384 by 1.
1256⋅16384
Cancel the common factor of 256.
Factor 256 out of 16384.
1256⋅(256(64))
Cancel the common factor.
1256⋅(256⋅64)
Rewrite the expression.
64
64
64
Evaluate (1/256)÷((1/4)^7)

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