What is 4\times (9^2\div 6\times 5) ?

The solution to 4\times (9^2\div 6\times 5) is 270

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4\times (9^2\div 6\times 5)

4 \times (9^{2} \div 6 \times 5)

270

Solution steps

4 \times (9^{2} \div 6 \times 5)

Follow the PEMDAS order of operations

Calculate within parentheses

(9^{2} \div 6 \times 5) : \frac{135}{2}

9^{2} \div 6 \times 5

Calculate exponents

9^{2} : 81

9^{2}

9^{2} = 81

= 81

= 81 \div 6 \times 5

Multiply and divide (left to right)

81 \div 6 \times 5 : \frac{135}{2}

81 \div 6 \times 5

81 \div 6 = \frac{81}{6}

= \frac{81}{6} \times 5

\frac{81}{6} \times 5 = \frac{135}{2}

\frac{81}{6} \cdot 5

Cancel

\frac{81}{6} : \frac{27}{2}

\frac{81}{6}

Factor the number:

81 = 3 \cdot 27

= \frac{3 \cdot 27}{6}

Factor the number:

6 = 3 \cdot 2

= \frac{3 \cdot 27}{3 \cdot 2}

Cancel the common factor:

3

= \frac{27}{2}

= \frac{27}{2} \cdot 5

\frac{27}{2} \cdot 5 = \frac{135}{2}

\frac{27}{2} \cdot 5

Convert element to fraction:

5 = \frac{5}{1}

= \frac{27}{2} \cdot \frac{5}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{27 \cdot 5}{2 \cdot 1}

Multiply the numbers:

27 \cdot 5 = 135

= \frac{135}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{135}{2}

= \frac{135}{2}

= \frac{135}{2}

= \frac{135}{2}

= 4 \times \frac{135}{2}

Multiply and divide (left to right)

4 \times \frac{135}{2} : 270

4 \times \frac{135}{2}

Convert element to fraction:

4 = \frac{4}{1}

= \frac{4}{1} \cdot \frac{135}{2}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{4 \cdot 135}{1 \cdot 2}

Cancel

\frac{4 \cdot 135}{1 \cdot 2} : 270

\frac{4 \cdot 135}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{4 \cdot 135}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2 \cdot 135

Multiply the numbers:

2 \cdot 135 = 270

= 270

= 270

= 270

9 + \frac{1}{4} - \frac{1}{2} + 3

- 27 (35 - 29) - (- 80 + 40 - 20)

- 1 + (- 1) + (- 1)

(2 + 3) \times (4 \times 2)

(- 2) \times (- 5 + 3) - (- 4 + 7) \times (+ 4 - 1)

What is 4\times (9^2\div 6\times 5) ?
The solution to 4\times (9^2\div 6\times 5) is 270