What is 10^5\div 5^{10} ?

The solution to 10^5\div 5^{10} is 32/3125

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10^5\div 5^{10}

1 0^{5} \div 5^{10}

\frac{32}{3125}

Solution steps

1 0^{5} \div 5^{10}

Follow the PEMDAS order of operations

Calculate exponents

1 0^{5} : 100000

1 0^{5}

1 0^{5} = 100000

= 100000

= 100000 \div 5^{10}

Calculate exponents

5^{10} : 9765625

5^{10}

5^{10} = 9765625

= 9765625

= 100000 \div 9765625

Multiply and divide (left to right)

100000 \div 9765625 : \frac{100000}{9765625}

100000 \div 9765625

100000 \div 9765625 = \frac{100000}{9765625}

= \frac{100000}{9765625}

= \frac{100000}{9765625}

Cancel the common factor:

3125

= \frac{32}{3125}

(2^{4} \times 3^{4} \times 6^{4}) + 5^{0}

4 \times 3 - 2^{2} \times 4 + 7 - 3

25 + 10 - 75 - 8 + 35 - 7

\frac{1 ^{2} - 1}{1 + 1}

- 32 - 2 + 14 - 7