Solve 15*left(10^-7right)^23*10^5

$$15 \times { \left( { 10 }^{ -7 } \right) }^{ 2 } 3 \times { 10 }^{ 5 }$$

Evaluate

$$\frac{9}{200000000}=0.000000045$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -7 and 2 to get -14.

$$15\times 10^{-14}\times 3\times 10^{5}$$

To multiply powers of the same base, add their exponents. Add -14 and 5 to get -9.

$$15\times 10^{-9}\times 3$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$15\times \frac{1}{1000000000}\times 3$$

Multiply 15 and \frac{1}{1000000000} to get \frac{3}{200000000}.

$$\frac{3}{200000000}\times 3$$

Multiply \frac{3}{200000000} and 3 to get \frac{9}{200000000}.

$$\frac{9}{200000000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {9} \cdot 5 ^ {8}} = 4.5 \times 10^{-8}$$