The solution to (3/4*8)^2 is 36

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(3/4*8)^2

Solution

(\frac{3}{4} \cdot 8)^{2}

36

Solution steps

(\frac{3}{4} \cdot 8)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{3}{4} \cdot 8) : 6

\frac{3}{4} \cdot 8

\frac{3}{4} \cdot 8 = 6

\frac{3}{4} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{3}{4} \cdot \frac{8}{1}

Cross-cancel common factor:

4

= \frac{3}{1} \cdot \frac{2}{1}

Multiply fractions:

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

= \frac{3 \cdot 2}{1 \cdot 1}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{6}{1 \cdot 1}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{6}{1}

Apply rule

\frac{a}{1} = a

= 6

= 6

= 6^{2}

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 36

2 - 4^{3} + (3 (- 1))^{2}

6 - 3 + \frac{3}{2}

\frac{( 22530 - 28 \times 10 + 33127 )}{63 \times 36}

20 + 10 - 5 + 20 + 25 + 25 - 20

- (0 + 3)^{2} + 5