# Simplify (3x^9y^7)^-3(8x^3y^9)

(3x9y7)-3(8x3y9)
Rewrite using the commutative property of multiplication.
8(3x9y7)-3(x3y9)
Rewrite the expression using the negative exponent rule b-n=1bn.
81(3x9y7)3(x3y9)
Simplify the denominator.
Apply the product rule to 3x9y7.
81(3×9)3(y7)3(x3y9)
Apply the product rule to 3×9.
8133(x9)3(y7)3(x3y9)
Raise 3 to the power of 3.
8127(x9)3(y7)3(x3y9)
Multiply the exponents in (x9)3.
Apply the power rule and multiply exponents, (am)n=amn.
8127×9⋅3(y7)3(x3y9)
Multiply 9 by 3.
8127×27(y7)3(x3y9)
8127×27(y7)3(x3y9)
Multiply the exponents in (y7)3.
Apply the power rule and multiply exponents, (am)n=amn.
8127x27y7⋅3(x3y9)
Multiply 7 by 3.
8127x27y21(x3y9)
8127x27y21(x3y9)
8127x27y21(x3y9)
Simplify terms.
Combine 8 and 127x27y21.
827x27y21(x3y9)
Cancel the common factor of x3y9.
Factor x3y9 out of 27x27y21.
8x3y9(27x24y12)(x3y9)
Cancel the common factor.
8x3y9(27x24y12)(x3y9)
Rewrite the expression.
827x24y12
827x24y12
827x24y12
Simplify (3x^9y^7)^-3(8x^3y^9)