Solve 3.2*10^3(-2)+5.43*10^4(-3)=

$$3.2 \times { 10 }^{ 3(-2) } +5.43 \times { 10 }^{ 4(-3) } =$$

Evaluate

$$0.00000320000543$$

Solution Steps

Multiply 3 and -2 to get -6.

$$3.2\times 10^{-6}+5.43\times 10^{4\left(-3\right)}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$3.2\times \frac{1}{1000000}+5.43\times 10^{4\left(-3\right)}$$

Multiply 3.2 and \frac{1}{1000000} to get \frac{1}{312500}.

$$\frac{1}{312500}+5.43\times 10^{4\left(-3\right)}$$

Multiply 4 and -3 to get -12.

$$\frac{1}{312500}+5.43\times 10^{-12}$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$\frac{1}{312500}+5.43\times \frac{1}{1000000000000}$$

Multiply 5.43 and \frac{1}{1000000000000} to get \frac{543}{100000000000000}.

$$\frac{1}{312500}+\frac{543}{100000000000000}$$

Add \frac{1}{312500} and \frac{543}{100000000000000} to get \frac{320000543}{100000000000000}.

$$\frac{320000543}{100000000000000}$$

Factor

$$\frac{349 \cdot 916907}{2 ^ {14} \cdot 5 ^ {14}} = 3.20000543 \times 10^{-6}$$