What is 28\div (1-145)^5 ?

The solution to 28\div (1-145)^5 is -7/15479341056

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28\div (1-145)^5

28 \div (1 - 145)^{5}

- \frac{7}{15479341056}

Solution steps

28 \div (1 - 145)^{5}

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - 145) : - 144

1 - 145

1 - 145 = - 144

= - 144

= 28 \div (- 144)^{5}

Calculate exponents

(- 144)^{5} : - 61917364224

(- 144)^{5}

Apply exponent rule:

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

n

is odd

(- 144)^{5} = - 14 4^{5} = - 61917364224

= - 61917364224

= 28 \div (- 61917364224)

Multiply and divide (left to right)

28 \div (- 61917364224) : \frac{28}{( - 61917364224 )}

28 \div (- 61917364224)

Apply rule

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

28 \div (- 61917364224) = - 28 \div 61917364224 = \frac{28}{( - 61917364224 )}

= \frac{28}{( - 61917364224 )}

= \frac{28}{( - 61917364224 )}

Simplify

\frac{28}{( - 61917364224 )} : - \frac{7}{15479341056}

Apply the fraction rule:

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

= - \frac{28}{61917364224}

Cancel the common factor:

4

= - \frac{7}{15479341056}

3 (2 (6 - 8) - 3 (2))

3 (3 - 1) + 3 [1 + 2 (2)] - 2 (4 - 1) (2 + 1)

6 + 2 (2 + 1)

4^{0} + 1

5^{2} - 3 \times 2 + 6 \div 3 + 2