Solve 100*10000/10*.1=10^2*10^4/10^1*10^-1

$$\frac { 100 \times 10000 } { 10 \times .1 } = \frac { 10 ^ { 2 } \times 10 ^ { 4 } } { 10 ^ { 1 } \times 10 ^ { - 1 } }$$

Verify

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$\frac{100\times 10000}{10\times 0.1}=\frac{10^{6}}{10^{1}\times 10^{-1}}$$

Multiply 10^{1} and 10^{-1} to get 1.

$$\frac{100\times 10000}{10\times 0.1}=\frac{10^{6}}{1}$$

Cancel out 10 in both numerator and denominator.

$$\frac{10\times 10000}{0.1}=\frac{10^{6}}{1}$$

Multiply 10 and 10000 to get 100000.

$$\frac{100000}{0.1}=\frac{10^{6}}{1}$$

Expand \frac{100000}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$1000000=\frac{10^{6}}{1}$$

Calculate 10 to the power of 6 and get 1000000.

$$1000000=\frac{1000000}{1}$$

Anything divided by one gives itself.

$$1000000=1000000$$

Compare 1000000 and 1000000.

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