Question

Simplify the expression and write your answer in scientific notation:

(1.4×10 3) 3.
a. 2.744×10 √9

b. 2.744×10 √ 7

c. 2.744×10 √6

d. 2.744×10 √3

Answer 1

To simplify (1.4×10^3)^3, multiply 1.4 by itself three times to get 2.744 and raise the power of 10 to the ninth power, resulting in the scientific notation of 2.744×10^9.

Step-by-step explanation:

To simplify the expression (1.4×103)3 and write it in scientific notation, follow these steps:

Multiply the base number (1.4) by itself three times. (1.4)3 = 1.4 × 1.4 × 1.4 = 2.744.

Then, raise the power of 10 by the exponent. Since the exponent is 3, you will multiply the initial power exponent by this number (3 × 3 = 9), which gives us 109.

Combine the results of steps 1 and 2 to get the expression in scientific notation: 2.744×109

The simplified expression in scientific notation is therefore 2.744×109.