Solve frac{2^{2}*10^-10*2^7*10^-6}{32*10^-15}

$$\frac { 2 ^ { 2 } \times 10 ^ { - 10 } \times 2 ^ { 7 } \times 10 ^ { - 6 } } { 32 \times 10 ^ { - 15 } }$$

Evaluate

$$\frac{8}{5}=1.6$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 7 to get 9.

$$\frac{2^{9}\times 10^{-10}\times 10^{-6}}{32\times 10^{-15}}$$

To multiply powers of the same base, add their exponents. Add -10 and -6 to get -16.

$$\frac{2^{9}\times 10^{-16}}{32\times 10^{-15}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{2^{9}}{32\times 10^{1}}$$

Calculate 2 to the power of 9 and get 512.

$$\frac{512}{32\times 10^{1}}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{512}{32\times 10}$$

Multiply 32 and 10 to get 320.

$$\frac{512}{320}$$

Reduce the fraction \frac{512}{320} to lowest terms by extracting and canceling out 64.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$