Solve 5*10^4=9*10^9*2*10^-5

$$5 \times { 10 }^{ 4 } =9 \times { 10 }^{ 9 } \times 2 \times { 10 }^{ -5 }$$

Verify

Solution Steps

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

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

Calculate 10 to the power of 4 and get 10000.

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

Multiply 5 and 10000 to get 50000.

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

Calculate 10 to the power of 4 and get 10000.

$$50000=9\times 10000\times 2$$

Multiply 9 and 10000 to get 90000.

$$50000=90000\times 2$$

Multiply 90000 and 2 to get 180000.

$$50000=180000$$

Compare 50000 and 180000.

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