Simplify -(-1000y^3)^(-2/3)

Math
-(-1000y3)-23
Rewrite the expression using the negative exponent rule b-n=1bn.
-1(-1000y3)23
Simplify the denominator.
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Apply the product rule to -1000y3.
-1(-1000)23(y3)23
Rewrite -1000 as (-10)3.
-1((-10)3)23(y3)23
Apply the power rule and multiply exponents, (am)n=amn.
-1(-10)3(23)(y3)23
Cancel the common factor of 3.
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Cancel the common factor.
-1(-10)3(23)(y3)23
Rewrite the expression.
-1(-10)2(y3)23
-1(-10)2(y3)23
Raise -10 to the power of 2.
-1100(y3)23
Multiply the exponents in (y3)23.
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Apply the power rule and multiply exponents, (am)n=amn.
-1100y3(23)
Cancel the common factor of 3.
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Cancel the common factor.
-1100y3(23)
Rewrite the expression.
-1100y2
-1100y2
-1100y2
-1100y2
Simplify -(-1000y^3)^(-2/3)

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