What is (9)(-3)^2-8^2 ?

The solution to (9)(-3)^2-8^2 is 17

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(9)(-3)^2-8^2

(9) (- 3)^{2} - 8^{2}

17

Solution steps

(9) (- 3)^{2} - 8^{2}

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= (9) \cdot 9 - 8^{2}

Calculate exponents

8^{2} : 64

8^{2}

8^{2} = 64

= 64

= (9) \cdot 9 - 64

Multiply and divide (left to right)

(9) \cdot 9 : 81

(9) \cdot 9

Apply rule:

(a) = a

(9) = 9

= 9 \cdot 9

Multiply the numbers:

9 \cdot 9 = 81

= 81

= 81 - 64

Add and subtract (left to right)

81 - 64 : 17

81 - 64

81 - 64 = 17

= 17

= 17

3^{2} \div 3

2^{2} - 4^{2} \div 8 + 2^{5}

25 - (3 - 2) + (4 - 1)

3 6^{2} + 1 5^{2}

8 4^{2} + 1 3^{2}