Solve {l}{7^{2}*8^2*8^4}{*7^8*8^-90}

$$\left. \begin{array} { l } { 7 ^ { 2 } \times 8 ^ { 2 } \cdot 8 ^ { 4 } } \\ { \times 7 ^ { 8 } \cdot 8 ^ { - 90 } } \end{array} \right.$$

Evaluate

$$\frac{282475249}{7237005577332262213973186563042994240829374041602535252466099000494570602496}\approx 3.903206181 \cdot 10^{-68}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 8 to get 10.

$$7^{10}\times 8^{2}\times 8^{4}\times 8^{-90}$$

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

$$7^{10}\times 8^{6}\times 8^{-90}$$

To multiply powers of the same base, add their exponents. Add 6 and -90 to get -84.

$$7^{10}\times 8^{-84}$$

Calculate 7 to the power of 10 and get 282475249.

$$282475249\times 8^{-84}$$

Calculate 8 to the power of -84 and get \frac{1}{7237005577332262213973186563042994240829374041602535252466099000494570602496}.

$$282475249\times \frac{1}{7237005577332262213973186563042994240829374041602535252466099000494570602496}$$

Multiply 282475249 and \frac{1}{7237005577332262213973186563042994240829374041602535252466099000494570602496} to get \frac{282475249}{7237005577332262213973186563042994240829374041602535252466099000494570602496}.

$$\frac{282475249}{7237005577332262213973186563042994240829374041602535252466099000494570602496}$$

Factor

$$\frac{7 ^ {10}}{2 ^ {252}} = 3.903206180810037 \times 10^{-68}$$