What is (-1)^4-(+8)^2\div (-2)^4 ?

The solution to (-1)^4-(+8)^2\div (-2)^4 is -3

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(-1)^4-(+8)^2\div (-2)^4

(- 1)^{4} - (+ 8)^{2} \div (- 2)^{4}

- 3

Solution steps

(- 1)^{4} - (8)^{2} \div (- 2)^{4}

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{4} : 1

(- 1)^{4}

Apply exponent rule:

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

n

is even

(- 1)^{4} = 1^{4} = 1

= 1

= 1 - (8)^{2} \div (- 2)^{4}

Calculate exponents

(8)^{2} : 64

(8)^{2}

(8)^{2} = 64

= 64

= 1 - 64 \div (- 2)^{4}

Calculate exponents

(- 2)^{4} : 16

(- 2)^{4}

Apply exponent rule:

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

n

is even

(- 2)^{4} = 2^{4} = 16

= 16

= 1 - 64 \div 16

Multiply and divide (left to right)

64 \div 16 : 4

64 \div 16

64 \div 16 = 4

= 4

= 1 - 4

Add and subtract (left to right)

1 - 4 : - 3

1 - 4

1 - 4 = - 3

= - 3

= - 3

- 2 (- \frac{3}{4} + \frac{1}{8})

0 (1) + \frac{1}{3}

4^{3} - (2 + 2^{3}) \times 5

- 3 - 14 - 25

\frac{2}{3} \cdot \frac{3}{4}

What is (-1)^4-(+8)^2\div (-2)^4 ?
The solution to (-1)^4-(+8)^2\div (-2)^4 is -3