Answer:
the simplest answer is B
Step-by-step explanation:
I just know
Answer:
5.6 × 10¹²
Step-by-step explanation:
Given expression:
[tex](8 \times 10^7)(7 \times 10^{4})[/tex]
The Commutative Property of Multiplication states that the order or position of the numbers does not change the end result. Therefore:
[tex]\implies 8 \times 10^7 \times 7 \times 10^{4}[/tex]
[tex]\implies 8 \times 7 \times 10^7 \times 10^{4}[/tex]
Multiply 8 and 7:
[tex]\implies 56 \times 10^7 \times 10^{4}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies 56 \times 10^{(7+4)}[/tex]
[tex]\implies 56 \times 10^{11}[/tex]
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:
[tex]\implies 56\times10^{11}=\boxed{5.6 \times 10^{12}}[/tex]
