What is 5^2-3^4-(-1)^9 ?

The solution to 5^2-3^4-(-1)^9 is -55

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5^2-3^4-(-1)^9

5^{2} - 3^{4} - (- 1)^{9}

- 55

Solution steps

5^{2} - 3^{4} - (- 1)^{9}

Follow the PEMDAS order of operations

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= 25 - 3^{4} - (- 1)^{9}

Calculate exponents

3^{4} : 81

3^{4}

3^{4} = 81

= 81

= 25 - 81 - (- 1)^{9}

Calculate exponents

(- 1)^{9} : - 1

(- 1)^{9}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 1)^{9} = - 1^{9} = - 1

= - 1

= 25 - 81 - (- 1)

Add and subtract (left to right)

25 - 81 - (- 1) : - 55

25 - 81 - (- 1)

25 - 81 = - 56

= - 56 - (- 1)

Apply rule

- (- a) = + a

- (- 1) = + 1

= - 56 + 1

- 56 + 1 = - 55

= - 55

= - 55

- 2^{2} - 2 (- 2) + 3

2^{2} - 6 (2) + 3

45 \div 3 - 2^{3} + 10

6 (6 + 8)

2 5^{2} + 1 5^{2}