What is (3+1)^5\div (5-1)^7 ?

The solution to (3+1)^5\div (5-1)^7 is 1/16

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(3+1)^5\div (5-1)^7

(3 + 1)^{5} \div (5 - 1)^{7}

\frac{1}{16}

Solution steps

(3 + 1)^{5} \div (5 - 1)^{7}

Follow the PEMDAS order of operations

Calculate within parentheses

(3 + 1) : 4

= 4^{5} \div (5 - 1)^{7}

Calculate within parentheses

(5 - 1) : 4

= 4^{5} \div 4^{7}

Calculate exponents

4^{5} : 1024

= 1024 \div 4^{7}

Calculate exponents

4^{7} : 16384

= 1024 \div 16384

Multiply and divide (left to right)

1024 \div 16384 : \frac{1024}{16384}

= \frac{1024}{16384}

Cancel the common factor:

1024

= \frac{1}{16}

- [2 - 4 (- 2 + 9)]

[36 - (4 + 6) + 2] - [1 + 24 + 3]

- \frac{2}{5} (- 2) - 2

- 2^{3} + 6 (- 2)^{2} + 13 (- 2) + 10

1^{0} - 1^{100}