1 Answer

Litishia · Answer 1 · 2023-06-12T19:52:22+0000

Answer:

$\sf 4.9 * 10^(11)$

Explanation:

Given expression:
$\sf (7 * 10^5)^2$

Apply exponent rule
$\sf (ab)^2=a^2 \cdot b^2$ :

$\sf \implies 7^2 * (10^5)^2$

$\sf \implies 49 * (10^5)^2$

Apply exponent rule
$\sf (a^b)^c=a^(bc)$ :

$\sf \implies 49 * 10^(5 \cdot 2)$

$\sf \implies 49 * 10^(10)$

Scientific notation:
$\sf a * 10^n$

where
$\sf 1\leq a < 10$ and n is an integer

We can write 49 as
$\sf 4.9 * 10=4.9 * 10^1$

$\sf \implies 4.9 * 10^1* 10^(10)$

Apply exponent rule
$\sf a^ba^c=a^(b+c)$

$\sf \implies 4.9 * 10^(11)$

Please log in or register to add a comment.