# Simplify (2 4/5)^-2*(3-0.25)^3

(245)-2⋅(3-0.25)3
Convert 245 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(2+45)-2⋅(3-0.25)3
To write 2 as a fraction with a common denominator, multiply by 55.
(2⋅55+45)-2⋅(3-0.25)3
Combine 2 and 55.
(2⋅55+45)-2⋅(3-0.25)3
Combine the numerators over the common denominator.
(2⋅5+45)-2⋅(3-0.25)3
Simplify the numerator.
Multiply 2 by 5.
(10+45)-2⋅(3-0.25)3
(145)-2⋅(3-0.25)3
(145)-2⋅(3-0.25)3
(145)-2⋅(3-0.25)3
(145)-2⋅(3-0.25)3
Change the sign of the exponent by rewriting the base as its reciprocal.
(514)2⋅(3-0.25)3
Apply the product rule to 514.
52142⋅(3-0.25)3
Raise 5 to the power of 2.
25142⋅(3-0.25)3
Raise 14 to the power of 2.
25196⋅(3-0.25)3
Subtract 0.25 from 3.
25196⋅2.753
Raise 2.75 to the power of 3.
25196⋅20.796875
Multiply 25196⋅20.796875.
Combine 25196 and 20.796875.
25⋅20.796875196
Multiply 25 by 20.796875.
519.921875196
519.921875196
Divide 519.921875 by 196.
2.65266262
Simplify (2 4/5)^-2*(3-0.25)^3

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