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Vlad1618 [11]
2 years ago
9

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

Mathematics
2 answers:
lesya692 [45]2 years ago
5 0

Answer:

49x10^10

Step by Step:

7^2 so 7x7=49

(10^5)^2 so ^5x^2=^10   So 10^10

castortr0y [4]2 years ago
4 0

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}

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