(35-(-12)2+910)0

Use the power rule (ab)n=anbn to distribute the exponent.

Apply the product rule to -12.

(35-((-1)2(12)2)+910)0

Apply the product rule to 12.

(35-((-1)21222)+910)0

(35-((-1)21222)+910)0

Multiply -1 by (-1)2 by adding the exponents.

Move (-1)2.

(35+(-1)2⋅-11222+910)0

Multiply (-1)2 by -1.

Raise -1 to the power of 1.

(35+(-1)2⋅(-1)11222+910)0

Use the power rule aman=am+n to combine exponents.

(35+(-1)2+11222+910)0

(35+(-1)2+11222+910)0

Add 2 and 1.

(35+(-1)31222+910)0

(35+(-1)31222+910)0

Raise -1 to the power of 3.

(35-1222+910)0

One to any power is one.

(35-122+910)0

Raise 2 to the power of 2.

(35-14+910)0

(35-14+910)0

To write 35 as a fraction with a common denominator, multiply by 44.

(35⋅44-14+910)0

To write -14 as a fraction with a common denominator, multiply by 55.

(35⋅44-14⋅55+910)0

Multiply 35 and 44.

(3⋅45⋅4-14⋅55+910)0

Multiply 5 by 4.

(3⋅420-14⋅55+910)0

Multiply 14 and 55.

(3⋅420-54⋅5+910)0

Multiply 4 by 5.

(3⋅420-520+910)0

(3⋅420-520+910)0

Combine the numerators over the common denominator.

(3⋅4-520+910)0

Multiply 3 by 4.

(12-520+910)0

Subtract 5 from 12.

(720+910)0

(720+910)0

To write 910 as a fraction with a common denominator, multiply by 22.

(720+910⋅22)0

Multiply 910 and 22.

(720+9⋅210⋅2)0

Multiply 10 by 2.

(720+9⋅220)0

(720+9⋅220)0

Combine the numerators over the common denominator.

(7+9⋅220)0

Multiply 9 by 2.

(7+1820)0

Add 7 and 18.

(2520)0

(2520)0

Factor 5 out of 25.

(5(5)20)0

Cancel the common factors.

Factor 5 out of 20.

(5⋅55⋅4)0

Cancel the common factor.

(5⋅55⋅4)0

Rewrite the expression.

(54)0

(54)0

(54)0

Apply the product rule to 54.

5040

Anything raised to 0 is 1.

140

Anything raised to 0 is 1.

11

Divide 1 by 1.

1

1

Evaluate (3/5-(-1/2)^2+9/10)^0