What is (-15)^3\div (-5)^3 ?

The solution to (-15)^3\div (-5)^3 is 27

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(-15)^3\div (-5)^3

(- 15)^{3} \div (- 5)^{3}

27

Solution steps

(- 15)^{3} \div (- 5)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(- 15)^{3} : - 3375

(- 15)^{3}

Apply exponent rule:

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

n

is odd

(- 15)^{3} = - 1 5^{3} = - 3375

= - 3375

= - 3375 \div (- 5)^{3}

Calculate exponents

(- 5)^{3} : - 125

(- 5)^{3}

Apply exponent rule:

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

n

is odd

(- 5)^{3} = - 5^{3} = - 125

= - 125

= - 3375 \div (- 125)

Multiply and divide (left to right)

- 3375 \div (- 125) : 27

- 3375 \div (- 125)

Apply rule

- a \div (- b) = a \div b

- 3375 \div (- 125) = 3375 \div 125 = 27

= 27

= 27

3^{2} \div 2^{2}

3 (0) - 8

4 + 6 - 3

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

1 4^{2} - 7^{2}