What is (34)/((7*10+6)^2) ?

The solution to (34)/((7*10+6)^2) is 17/2888

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(34)/((7*10+6)^2)

\frac{34}{( 7 \cdot 10 + 6 ) ^{2}}

\frac{17}{2888}

Solution steps

\frac{34}{( 7 \cdot 10 + 6 ) ^{2}}

Solve

(7 \cdot 10 + 6)^{2} : 5776

Follow the PEMDAS order of operations

Calculate within parentheses

(7 \cdot 10 + 6) : 76

7 \cdot 10 + 6

Multiply and divide (left to right)

7 \cdot 10 : 70

7 \cdot 10

7 \cdot 10 = 70

= 70

= 70 + 6

Add and subtract (left to right)

70 + 6 : 76

70 + 6

70 + 6 = 76

= 76

= 76

= 7 6^{2}

Calculate exponents

7 6^{2} : 5776

7 6^{2}

7 6^{2} = 5776

= 5776

= 5776

= \frac{34}{5776}

Cancel the common factor:

2

= \frac{17}{2888}

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39 \times (15 \div 3) - 16