Solve frac{7^{10}9^77^3}{10^-27^5}

$$\frac { 7 ^ { 10 } 9 ^ { 7 } 7 ^ { 3 } } { 10 ^ { - 2 } 7 ^ { 5 } }$$

Evaluate

$$2757286447416900$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 10 and 3 to get 13.

$$\frac{7^{13}\times 9^{7}}{10^{-2}\times 7^{5}}$$

Cancel out 7^{5} in both numerator and denominator.

$$\frac{7^{8}\times 9^{7}}{10^{-2}}$$

Calculate 7 to the power of 8 and get 5764801.

$$\frac{5764801\times 9^{7}}{10^{-2}}$$

Calculate 9 to the power of 7 and get 4782969.

$$\frac{5764801\times 4782969}{10^{-2}}$$

Multiply 5764801 and 4782969 to get 27572864474169.

$$\frac{27572864474169}{10^{-2}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{27572864474169}{\frac{1}{100}}$$

Divide 27572864474169 by \frac{1}{100} by multiplying 27572864474169 by the reciprocal of \frac{1}{100}.

$$27572864474169\times 100$$

Multiply 27572864474169 and 100 to get 2757286447416900.

$$2757286447416900$$

Factor

$$2^{2}\times 3^{14}\times 5^{2}\times 7^{8}$$