Question

PLSS HELP. Simplify the expression. Write the answer using scientific notation (7x10^5)^2

Answer 1

Answer:

49x10^10

Step by Step:

7^2 so 7x7=49

(10^5)^2 so ^5x^2=^10   So 10^10

Answer 2

Answer:

$\sf 4.9 \times 10^{11}$

Step-by-step explanation:

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

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

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

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

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

$\sf \implies 49 \times 10^{5 \cdot 2}$

$\sf \implies 49 \times 10^{10}$

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

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

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

$\sf \implies 4.9 \times 10^1\times 10^{10}$

Apply exponent rule $\sf a^ba^c=a^{b+c}$

$\sf \implies 4.9 \times 10^{11}$