Solve 8^2left(8^8right)^-3

$${ 8 }^{ 2 } { \left( { 8 }^{ 8 } \right) }^{ -3 }$$

Evaluate

$$\frac{1}{73786976294838206464}=1.355252716 \cdot 10^{-20}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 8 and -3 to get -24.

$$8^{2}\times 8^{-24}$$

To multiply powers of the same base, add their exponents. Add 2 and -24 to get -22.

$$8^{-22}$$

Calculate 8 to the power of -22 and get \frac{1}{73786976294838206464}.

$$\frac{1}{73786976294838206464}$$

Factor

$$\frac{1}{2 ^ {66}} = 1.3552527156068805 \times 10^{-20}$$