What is [tex](3.5 \times 10^4)^2[/tex] when written in scientific notation with four significant digits?

so that is 3.5 times 10000 or 35000 then it is squared so 1,225,000,000 but to four significant digits it would be 1225 times 10^6 or on a online test 1225e+06

Answered by apologiabiology | 2024-06-10

Exponents raised by exponents are resolved by multiplying the two exponents together . . . so distribute the exponent to the paranthesis
note: 3.5 = 3.5^1
(3.5 x 10^4)^2
(3.5^1 2 x 10^(4 2))
(3.5^2 x 10^8)
12.25 x 10^8
1.225 x 10^9

Answered by Anonymous | 2024-06-10

The result of ( 3.5 × 1 0 4 ) 2 is 1.225 × 1 0 9 in scientific notation with four significant digits. We obtained this by squaring the coefficient and the exponent before combining them. Finally, we adjusted it to ensure four significant figures were used.
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Answered by apologiabiology | 2024-12-19