Solve 2^-2*0.5^-4+3^-2*(1/3)^-3

$$2 ^ { - 2 } \times 0.5 ^ { - 4 } + 3 ^ { - 2 } \times ( \frac { 1 } { 3 } ) ^ { - 3 }$$

Evaluate

$$7$$

Solution Steps

Calculate 2 to the power of -2 and get \frac{1}{4}.

$$\frac{1}{4}\times 0.5^{-4}+3^{-2}\times \left(\frac{1}{3}\right)^{-3}$$

Calculate 0.5 to the power of -4 and get 16.

$$\frac{1}{4}\times 16+3^{-2}\times \left(\frac{1}{3}\right)^{-3}$$

Multiply \frac{1}{4} and 16 to get 4.

$$4+3^{-2}\times \left(\frac{1}{3}\right)^{-3}$$

Calculate 3 to the power of -2 and get \frac{1}{9}.

$$4+\frac{1}{9}\times \left(\frac{1}{3}\right)^{-3}$$

Calculate \frac{1}{3} to the power of -3 and get 27.

$$4+\frac{1}{9}\times 27$$

Multiply \frac{1}{9} and 27 to get 3.

$$4+3$$

Add 4 and 3 to get 7.

$$7$$

Factor

$$7$$