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

Math
(35-(-12)2+910)0
Simplify each term.
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Use the power rule (ab)n=anbn to distribute the exponent.
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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.
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Move (-1)2.
(35+(-1)2⋅-11222+910)0
Multiply (-1)2 by -1.
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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
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
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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
Simplify the numerator.
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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
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
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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
Simplify the numerator.
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Multiply 9 by 2.
(7+1820)0
Add 7 and 18.
(2520)0
(2520)0
Cancel the common factor of 25 and 20.
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Factor 5 out of 25.
(5(5)20)0
Cancel the common factors.
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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
Simplify the expression.
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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

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