Question

PLEASE HELP !!! find the simplified form of the expression give your answer in scientific notation (8x10^7) (7x10^4)

Answer 1

the simplest answer is B

Explanation:

I just know

Answer 2

5.6 × 10¹²

Explanation:

Given expression:

`(8 * 10^7)(7 * 10^(4))`

The Commutative Property of Multiplication states that the order or position of the numbers does not change the end result. Therefore:

`\implies 8 * 10^7 * 7 * 10^(4)`

`\implies 8 * 7 * 10^7 * 10^(4)`

Multiply 8 and 7:

`\implies 56 * 10^7 * 10^(4)`

`\textsf{Apply the exponent rule} \quad a^b \cdot a^c=a^(b+c):`

`\implies 56 * 10^((7+4))`

`\implies 56 * 10^(11)`

Scientific notation (also called "Standard form") is written in the form of

a × 10ⁿ, where 1 ≤ a < 10 and "n" is any positive or negative whole number.

Therefore, to express the answer in scientific notation, we need to move the decimal point one place to the left so "a" is 5.6. If we move the decimal point one place to the left, we are effectively dividing by 10, so to compensate we need to increase the exponent of 10 by one unit:

`\implies 56*10^(11)=\boxed{5.6 * 10^(12)}`