What is 21(-1)^2-21(-1)^6 ?

The solution to 21(-1)^2-21(-1)^6 is 0

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21(-1)^2-21(-1)^6

21 (- 1)^{2} - 21 (- 1)^{6}

0

Solution steps

21 (- 1)^{2} - 21 (- 1)^{6}

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

(- 1)^{2} = 1^{2} = 1

= 1

= 21 \cdot 1 - 21 (- 1)^{6}

Calculate exponents

(- 1)^{6} : 1

(- 1)^{6}

Apply exponent rule:

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

n

is even

(- 1)^{6} = 1^{6} = 1

= 1

= 21 \cdot 1 - 21 \cdot 1

Multiply and divide (left to right)

21 \cdot 1 : 21

21 \cdot 1

21 \cdot 1 = 21

= 21

= 21 - 21 \cdot 1

Multiply and divide (left to right)

21 \cdot 1 : 21

21 \cdot 1

21 \cdot 1 = 21

= 21

= 21 - 21

Add and subtract (left to right)

21 - 21 : 0

21 - 21

21 - 21 = 0

= 0

= 0

1 - \frac{13}{3} + \frac{3}{2}

17160 \div (90 - 80) + 57120 \div 7

16 - 8 + 4

15 - 15 \div 3 + 14 \div (2 + 5)

3 - [- 4 - (3 - 4)] - 2 (- 5 + 2)