Solve 3.45*10^3quadtext{(ii)}3.45*10^5

$$3.45 \times 10 ^ { 3 } \quad \text { (ii) } 3.45 \times 10 ^ { 5 }$$

Evaluate

$$-1190250000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.

$$3.45\times 10^{8}i\times \left(3.45i\right)$$

Calculate 10 to the power of 8 and get 100000000.

$$3.45\times \left(100000000i\right)\times \left(3.45i\right)$$

Multiply 3.45 and 100000000i to get 345000000i.

$$345000000i\times \left(3.45i\right)$$

Multiply 345000000i and 3.45i to get -1190250000.

$$-1190250000$$

Real Part

$$-1190250000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.

$$Re(3.45\times 10^{8}i\times \left(3.45i\right))$$

Calculate 10 to the power of 8 and get 100000000.

$$Re(3.45\times \left(100000000i\right)\times \left(3.45i\right))$$

Multiply 3.45 and 100000000i to get 345000000i.

$$Re(345000000i\times \left(3.45i\right))$$

Multiply 345000000i and 3.45i to get -1190250000.

$$Re(-1190250000)$$

The real part of -1190250000 is -1190250000.

$$-1190250000$$