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

(-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

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

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