The solution to 4/(4^2+16) is 1/8

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4/(4^2+16)

Solution

\frac{4}{4 ^{2} + 16}

\frac{1}{8}

Solution steps

\frac{4}{4 ^{2} + 16}

Solve

4^{2} + 16 : 32

Follow the PEMDAS order of operations

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= 16 + 16

Add and subtract (left to right)

16 + 16 : 32

16 + 16

16 + 16 = 32

= 32

= 32

= \frac{4}{32}

Cancel the common factor:

4

= \frac{1}{8}

- 9^{0} + 9^{0}

9 - 42 \div (6 \times 7)

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

9 \div 12 \times 5

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