What is (216)/((3-0)^5) ?

The solution to (216)/((3-0)^5) is 8/9

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(216)/((3-0)^5)

\frac{216}{( 3 - 0 ) ^{5}}

\frac{8}{9}

Solution steps

\frac{216}{( 3 - 0 ) ^{5}}

Solve

(3 - 0)^{5} : 243

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - 0) : 3

3 - 0

3 - 0 = 3

= 3

= 3^{5}

Calculate exponents

3^{5} : 243

3^{5}

3^{5} = 243

= 243

= 243

= \frac{216}{243}

Cancel the common factor:

27

= \frac{8}{9}

\frac{7}{2} \cdot 2^{2}

[(6 \times 7) + 11] - 46

\frac{7}{2} \cdot 2^{1}

(+ 5)^{2} - (- 1)^{2}

2 - 2 (5^{2} + 15)