What is (38^2)/(4(8)^3) ?

The solution to (38^2)/(4(8)^3) is 361/512

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(38^2)/(4(8)^3)

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

\frac{361}{512}

Solution steps

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

Solve

3 8^{2} : 1444

3 8^{2} = 1444

= 1444

Solve

4 (8)^{3} : 2048

Follow the PEMDAS order of operations

Calculate exponents

(8)^{3} : 512

(8)^{3}

(8)^{3} = 512

= 512

= 4 \cdot 512

Multiply and divide (left to right)

4 \cdot 512 : 2048

4 \cdot 512

4 \cdot 512 = 2048

= 2048

= 2048

= \frac{1444}{2048}

Cancel the common factor:

4

= \frac{361}{512}

(3 - 5) + 4 (3 - 1) - 3 (1 + 1) (2) + 2 (3) 2

\frac{3}{3 ^{2} + 9}

2 (4)^{2} - 7^{1} + 3 (4)^{0}

- 5 (3) - 1

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