What is 25^3-3(25)(23)(2)-23^3 ?

The solution to 25^3-3(25)(23)(2)-23^3 is 8

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25^3-3(25)(23)(2)-23^3

2 5^{3} - 3 (25) (23) (2) - 2 3^{3}

8

Solution steps

2 5^{3} - 3 (25) (23) (2) - 2 3^{3}

Follow the PEMDAS order of operations

Calculate exponents

2 5^{3} : 15625

2 5^{3}

2 5^{3} = 15625

= 15625

= 15625 - 3 (25) (23) (2) - 2 3^{3}

Calculate exponents

2 3^{3} : 12167

2 3^{3}

2 3^{3} = 12167

= 12167

= 15625 - 3 (25) (23) (2) - 12167

Multiply and divide (left to right)

3 (25) (23) (2) : 3450

3 (25) (23) (2)

3 (25) = 75

3 (25)

Apply rule:

(a) = a

(25) = 25

= 3 \cdot 25

Multiply the numbers:

3 \cdot 25 = 75

= 75

= 75 (23) (2)

75 (23) = 1725

75 (23)

Apply rule:

(a) = a

(23) = 23

= 75 \cdot 23

Multiply the numbers:

75 \cdot 23 = 1725

= 1725

= 1725 (2)

1725 (2) = 3450

1725 (2)

Apply rule:

(a) = a

(2) = 2

= 1725 \cdot 2

Multiply the numbers:

1725 \cdot 2 = 3450

= 3450

= 3450

= 15625 - 3450 - 12167

Add and subtract (left to right)

15625 - 3450 - 12167 : 8

15625 - 3450 - 12167

15625 - 3450 = 12175

= 12175 - 12167

12175 - 12167 = 8

= 8

= 8

10 + 4 \times 8

7 \times (2 \times (- 7)) \times (- 77)

20 (- 4 - 1) - 13 (- 8 + 2)

\frac{1}{5} \times (1 + 2 \frac{1}{3})

30000 - 30 \times 6 + 5 - 9