Solve 510^4=910^9210^-5/sqrt{36}

$$5 { 10 }^{ 4 } = 9 \frac{ { 10 }^{ 9 } 2 { 10 }^{ -5 } }{ \sqrt{ 36 } }$$

Verify

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -5 to get 4.

$$5\times 10^{4}=9\times \frac{10^{4}\times 2}{\sqrt{36}}$$

Calculate 10 to the power of 4 and get 10000.

$$5\times 10000=9\times \frac{10^{4}\times 2}{\sqrt{36}}$$

Multiply 5 and 10000 to get 50000.

$$50000=9\times \frac{10^{4}\times 2}{\sqrt{36}}$$

Calculate 10 to the power of 4 and get 10000.

$$50000=9\times \frac{10000\times 2}{\sqrt{36}}$$

Multiply 10000 and 2 to get 20000.

$$50000=9\times \frac{20000}{\sqrt{36}}$$

Calculate the square root of 36 and get 6.

$$50000=9\times \frac{20000}{6}$$

Reduce the fraction \frac{20000}{6} to lowest terms by extracting and canceling out 2.

$$50000=9\times \frac{10000}{3}$$

Multiply 9 and \frac{10000}{3} to get 30000.

$$50000=30000$$

Compare 50000 and 30000.

$$\text{false}$$