The solution to 3(-4)^2+1 is 49

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3(-4)^2+1

Solution

3 (- 4)^{2} + 1

49

Solution steps

3 (- 4)^{2} + 1

Follow the PEMDAS order of operations

Calculate exponents

(- 4)^{2} : 16

(- 4)^{2}

Apply exponent rule:

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

n

is even

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

= 16

= 3 \cdot 16 + 1

Multiply and divide (left to right)

3 \cdot 16 : 48

3 \cdot 16

3 \cdot 16 = 48

= 48

= 48 + 1

Add and subtract (left to right)

48 + 1 : 49

48 + 1

48 + 1 = 49

= 49

= 49

2 - 5 (- 3)^{2}

- 3 - 3 + 5 \times 3 - 1 \times 4

\frac{\frac{2}{3}}{\frac{13}{3}}

[(- 3^{4} + 2^{4})^{2} + 1] \div (- 13)

\frac{8}{1} + 2 \times 1