Question

Which expression is a simplified form of the expression below?

(2.3 x 10²)(4 x 10⁴)

A) 9.2 x 10⁶
B) 9.2 x 10⁷
C) 9.2 x 10⁸
D) 9.2 x 10⁹

Answer 1

The expression (2.3 x 10²)(4 x 10⁴) simplifies to 9.2 x 10⁶ by multiplying the coefficients and adding the exponents, which corresponds to option A.

Step-by-step explanation:

To simplify the expression (2.3 x 10²)(4 x 10⁴), we can use the properties of multiplication with exponents. The numerical coefficients are multiplied together, and the exponents with the same base are added.

Multiplication of coefficients: 2.3 x 4 = 9.2

Addition of exponents: 10² x 10⁴ = 10²+⁴ = 10⁶

So, the expression simplifies to 9.2 x 10⁶, which matches option A.

1