Solve 3(8^-1)^5-4^2

$$3 ( 8 ^ { - 1 } ) ^ { 5 } - 4 ^ { 2 }$$

Evaluate

$$-\frac{524285}{32768}\approx -15.999908447$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -1 and 5 to get -5.

$$3\times 8^{-5}-4^{2}$$

Calculate 8 to the power of -5 and get \frac{1}{32768}.

$$3\times \frac{1}{32768}-4^{2}$$

Multiply 3 and \frac{1}{32768} to get \frac{3}{32768}.

$$\frac{3}{32768}-4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{3}{32768}-16$$

Subtract 16 from \frac{3}{32768} to get -\frac{524285}{32768}.

$$-\frac{524285}{32768}$$

Factor

$$-\frac{524285}{32768} = -15\frac{32765}{32768} = -15.999908447265625$$