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

1 Answer

9 votes

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)

User Litishia
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