What is 4+(6^2\div 1/4)\times 3 ?

The solution to 4+(6^2\div 1/4)\times 3 is 436

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4+(6^2\div 1/4)\times 3

4 + (6^{2} \div \frac{1}{4}) \times 3

436

Solution steps

4 + (6^{2} \div \frac{1}{4}) \times 3

Follow the PEMDAS order of operations

Calculate within parentheses

(6^{2} \div \frac{1}{4}) : 144

6^{2} \div \frac{1}{4}

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 36 \div \frac{1}{4}

Multiply and divide (left to right)

36 \div \frac{1}{4} : 144

36 \div \frac{1}{4}

Convert element to fraction:

36 = \frac{36}{1}

= \frac{36}{1} \div \frac{1}{4}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{36}{1} \cdot \frac{4}{1}

Apply rule

\frac{a}{1} = a

= 36 \cdot 4

Multiply the numbers:

36 \cdot 4 = 144

= 144

= 144

= 4 + 144 \times 3

Multiply and divide (left to right)

144 \times 3 : 432

144 \times 3

144 \times 3 = 432

= 432

= 4 + 432

Add and subtract (left to right)

4 + 432 : 436

4 + 432

4 + 432 = 436

= 436

= 436

7^{2} + 1 4^{2}

(3) + 4 (2 + 12)

(- 5) (7) + 4 \times 5

((55 - 81) + 5) \cdot 5

- (- 4 + 5 \times 4 - 5 - (- 6 + 3))

What is 4+(6^2\div 1/4)\times 3 ?
The solution to 4+(6^2\div 1/4)\times 3 is 436