Simplify (-2^7y^-6)^3

Math
(-27y-6)3
Raise 2 to the power of 7.
(-1⋅128y-6)3
Multiply -1 by 128.
(-128y-6)3
Rewrite the expression using the negative exponent rule b-n=1bn.
(-1281y6)3
Combine -128 and 1y6.
(-128y6)3
Move the negative in front of the fraction.
(-128y6)3
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -128y6.
(-1)3(128y6)3
Apply the product rule to 128y6.
(-1)31283(y6)3
(-1)31283(y6)3
Raise -1 to the power of 3.
-1283(y6)3
Raise 128 to the power of 3.
-2097152(y6)3
Multiply the exponents in (y6)3.
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Apply the power rule and multiply exponents, (am)n=amn.
-2097152y6⋅3
Multiply 6 by 3.
-2097152y18
-2097152y18
Simplify (-2^7y^-6)^3

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