What is (-3)^4-4(-3)^2 ?

The solution to (-3)^4-4(-3)^2 is 45

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(-3)^4-4(-3)^2

(- 3)^{4} - 4 (- 3)^{2}

45

Solution steps

(- 3)^{4} - 4 (- 3)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{4} : 81

(- 3)^{4}

Apply exponent rule:

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

n

is even

(- 3)^{4} = 3^{4} = 81

= 81

= 81 - 4 (- 3)^{2}

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

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

= 9

= 81 - 4 \cdot 9

Multiply and divide (left to right)

4 \cdot 9 : 36

4 \cdot 9

4 \cdot 9 = 36

= 36

= 81 - 36

Add and subtract (left to right)

81 - 36 : 45

81 - 36

81 - 36 = 45

= 45

= 45

(- 16 - (- 3)) \times (- 2)

(- 2)^{2} + 6 (- 2) + 5

9 - \frac{3}{10} - \frac{2}{5}

(3 + 16 \div 2 - 2) \cdot 5

5^{2} - 4 (5)