What is (2\times 3^2\times 5^2)/(75) ?

The solution to (2\times 3^2\times 5^2)/(75) is 6

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(2\times 3^2\times 5^2)/(75)

\frac{2 \cdot 3 ^{2} \cdot 5 ^{2}}{75}

6

Solution steps

\frac{2 \cdot 3 ^{2} \cdot 5 ^{2}}{75}

Solve

2 \cdot 3^{2} \cdot 5^{2} : 450

Follow the PEMDAS order of operations

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 2 \cdot 9 \cdot 5^{2}

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= 2 \cdot 9 \cdot 25

Multiply and divide (left to right)

2 \cdot 9 \cdot 25 : 450

2 \cdot 9 \cdot 25

2 \cdot 9 = 18

= 18 \cdot 25

18 \cdot 25 = 450

= 450

= 450

= \frac{450}{75}

Divide the numbers:

\frac{450}{75} = 6

= 6

2 6^{6} + 2 6^{6} - 2 6^{5}

180 - 90 - 43

180 - 90 - 42

180 - 90 - 50

180 - 90 - 52

What is (2\times 3^2\times 5^2)/(75) ?
The solution to (2\times 3^2\times 5^2)/(75) is 6