What is (-3)^8\div 3^5 ?

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

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(-3)^8\div 3^5

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

27

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{8} : 6561

(- 3)^{8}

Apply exponent rule:

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

n

is even

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

= 6561

= 6561 \div 3^{5}

Calculate exponents

3^{5} : 243

3^{5}

3^{5} = 243

= 243

= 6561 \div 243

Multiply and divide (left to right)

6561 \div 243 : 27

6561 \div 243

6561 \div 243 = 27

= 27

= 27

1 2^{2} + 1 2^{2}

\frac{5}{12} + ((2) \div (\frac{4}{8}) - 3)

1 0^{2} + 1 0^{3}

(2)^{2} - 2

3 (- 2) - 2