Answer:
-1
Step-by-step explanation:
27a^0c^3
27(2/3)^0(-1/3)^3
Apply the product rule to 2/3.
27(2^0/3^0)(-1/3)^3
Anything raised to 0 is 1.
27(1/3^0)(-1/3)^3
Anything raised to 0 is 1.
27(1/1)(-1/3)^3
Divide 1 by 1.
27 x 1(-1/3)^3
Multiply 27 by 1.
27(-1/3)^3
Apply the product rule to -1/3.
27[(-1)^3(1/3)^3]
Apply the product rule to 1/3.
27[(-1)^3(1^3/3^3)]
Raise -1 to the power of 3.
27(-1^3/3^3)
One to any power is one.
27(-1/3^3)
Raise 3 to the power of 3.
27(-1/27)
Move the leading negative in -1/27 into the numerator.
27(-1/27)
Cancel the common factor and rewrite the expression.
-1