What is ((-4)^2+2^3+10^0)/(-(3+2)^2) ?

The solution to ((-4)^2+2^3+10^0)/(-(3+2)^2) is -1

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((-4)^2+2^3+10^0)/(-(3+2)^2)

\frac{( - 4 ) ^{2} + 2 ^{3} + 1 0 ^{0}}{- ( 3 + 2 ) ^{2}}

- 1

Solution steps

\frac{( - 4 ) ^{2} + 2 ^{3} + 1 0 ^{0}}{- ( 3 + 2 ) ^{2}}

Solve

(- 4)^{2} + 2^{3} + 1 0^{0} : 25

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

= 16 + 2^{3} + 1 0^{0}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 16 + 8 + 1 0^{0}

Calculate exponents

1 0^{0} : 1

1 0^{0}

1 0^{0} = 1

= 1

= 16 + 8 + 1

Add and subtract (left to right)

16 + 8 + 1 : 25

16 + 8 + 1

16 + 8 = 24

= 24 + 1

24 + 1 = 25

= 25

= 25

Solve

- (3 + 2)^{2} : - 25

Follow the PEMDAS order of operations

Calculate within parentheses

(3 + 2) : 5

3 + 2

3 + 2 = 5

= 5

= - 5^{2}

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= - 25

= \frac{25}{- 25}

Simplify

\frac{25}{- 25} : - 1

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{25}{25}

Apply rule

\frac{a}{a} = 1

= - 1

= - 1

44 - 6 \cdot 6

840000 + 552000 + 400000 - 11040 + 160000 - 16000

1 - 30 + 24 - 4

- 2 (3)^{2} + 8 (3)

- 5 + (2 - 3^{0})

What is ((-4)^2+2^3+10^0)/(-(3+2)^2) ?
The solution to ((-4)^2+2^3+10^0)/(-(3+2)^2) is -1