Solve (1.25a*10^4)(0.8b*10^2)

$$( 1.25 a \times 10 ^ { 4 } ) ( 0.8 b \times 10 ^ { 2 } )$$

Evaluate

$$1000000ab$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$1.25a\times 10^{6}\times 0.8b$$

Calculate 10 to the power of 6 and get 1000000.

$$1.25a\times 1000000\times 0.8b$$

Multiply 1.25 and 1000000 to get 1250000.

$$1250000a\times 0.8b$$

Multiply 1250000 and 0.8 to get 1000000.

$$1000000ab$$

Differentiate w.r.t. a

$$1000000b$$