What is ((-3)^8)/((-3)^5) ?

The solution to ((-3)^8)/((-3)^5) is -27

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((-3)^8)/((-3)^5)

\frac{( - 3 ) ^{8}}{( - 3 ) ^{5}}

- 27

Solution steps

\frac{( - 3 ) ^{8}}{( - 3 ) ^{5}}

Solve

(- 3)^{8} : 6561

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 3)^{8} = 3^{8} = 6561

= 6561

Solve

(- 3)^{5} : - 243

Follow the PEMDAS order of operations

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 3)^{5} = - 3^{5} = - 243

= - 243

= \frac{6561}{- 243}

Simplify

\frac{6561}{- 243} : - 27

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{6561}{243}

Divide the numbers:

\frac{6561}{243} = 27

= - 27

= - 27

4^{2} \div 4 - 3

(3072 \div 5) - (512 \div 12)

[3 + [3 (4 - 5) - 2 \cdot 2] - 6] - [2 (2 - 5) + 1]

9 + 3 (2^{2} - 1) \div 3 \times 5 - 14

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