Solve =(14.4*10^4)(4*10^33)

$$= ( 14.4 \times 10 ^ { 4 } ) ( 4 \times 10 ^ { 33 } )$$

Evaluate

$$576000000000000000000000000000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 33 to get 37.

$$14.4\times 10^{37}\times 4$$

Calculate 10 to the power of 37 and get 10000000000000000000000000000000000000.

$$14.4\times 10000000000000000000000000000000000000\times 4$$

Multiply 14.4 and 10000000000000000000000000000000000000 to get 144000000000000000000000000000000000000.

$$144000000000000000000000000000000000000\times 4$$

Multiply 144000000000000000000000000000000000000 and 4 to get 576000000000000000000000000000000000000.

$$576000000000000000000000000000000000000$$

Factor

$$2^{42}\times 3^{2}\times 5^{36}$$